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Finding the Fourth Proportional to 17,821,814.67, 24,593,446.40 and 9,672,877.71

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Solution

The fourth proportional to 17,821,814.67, 24,593,446.40 and 9,672,877.71 is: 13,348,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821,814.67 : 24,593,446.40 = 9,672,877.71 : x
  2. Step 2: Convert to fraction form
    17,821,814.67/24,593,446.40 = 9,672,877.71/x
  3. Step 3: Cross multiply
    17,821,814.67x = 24,593,446.40 × 9,672,877.71
  4. Step 4: Simplify right side
    17,821,814.67x = 237,889,399,446,275.38
  5. Step 5: Solve for x
    x = 237,889,399,446,275.38/17,821,814.67
  6. Step 6: Final answer
    x = 13,348,214.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.