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Finding the Fourth Proportional to 17,722.31, 24,423.15 and 12,677.78

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Solution

The fourth proportional to 17,722.31, 24,423.15 and 12,677.78 is: 17,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.31 : 24,423.15 = 12,677.78 : x
  2. Step 2: Convert to fraction form
    17,722.31/24,423.15 = 12,677.78/x
  3. Step 3: Cross multiply
    17,722.31x = 24,423.15 × 12,677.78
  4. Step 4: Simplify right side
    17,722.31x = 309,631,222.51
  5. Step 5: Solve for x
    x = 309,631,222.51/17,722.31
  6. Step 6: Final answer
    x = 17,471.27

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