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Finding the Fourth Proportional to 25,747.31, 35,531.83 and 14,569.31

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Solution

The fourth proportional to 25,747.31, 35,531.83 and 14,569.31 is: 20,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,747.31 : 35,531.83 = 14,569.31 : x
  2. Step 2: Convert to fraction form
    25,747.31/35,531.83 = 14,569.31/x
  3. Step 3: Cross multiply
    25,747.31x = 35,531.83 × 14,569.31
  4. Step 4: Simplify right side
    25,747.31x = 517,674,353.18
  5. Step 5: Solve for x
    x = 517,674,353.18/25,747.31
  6. Step 6: Final answer
    x = 20,105.96

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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.