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Finding the Fourth Proportional to 15,523.38, 21,419.02 and 10,153.68

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Solution

The fourth proportional to 15,523.38, 21,419.02 and 10,153.68 is: 14,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,523.38 : 21,419.02 = 10,153.68 : x
  2. Step 2: Convert to fraction form
    15,523.38/21,419.02 = 10,153.68/x
  3. Step 3: Cross multiply
    15,523.38x = 21,419.02 × 10,153.68
  4. Step 4: Simplify right side
    15,523.38x = 217,481,824.23
  5. Step 5: Solve for x
    x = 217,481,824.23/15,523.38
  6. Step 6: Final answer
    x = 14,009.96

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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.