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Finding the Fourth Proportional to 25,402.50, 35,047.34 and 16,456.86

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Solution

The fourth proportional to 25,402.50, 35,047.34 and 16,456.86 is: 22,705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,402.50 : 35,047.34 = 16,456.86 : x
  2. Step 2: Convert to fraction form
    25,402.50/35,047.34 = 16,456.86/x
  3. Step 3: Cross multiply
    25,402.50x = 35,047.34 × 16,456.86
  4. Step 4: Simplify right side
    25,402.50x = 576,769,167.75
  5. Step 5: Solve for x
    x = 576,769,167.75/25,402.50
  6. Step 6: Final answer
    x = 22,705.21

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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.