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Finding the Fourth Proportional to 25,565.96, 38,332.38 and 9,985.16

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Solution

The fourth proportional to 25,565.96, 38,332.38 and 9,985.16 is: 14,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,565.96 : 38,332.38 = 9,985.16 : x
  2. Step 2: Convert to fraction form
    25,565.96/38,332.38 = 9,985.16/x
  3. Step 3: Cross multiply
    25,565.96x = 38,332.38 × 9,985.16
  4. Step 4: Simplify right side
    25,565.96x = 382,754,947.48
  5. Step 5: Solve for x
    x = 382,754,947.48/25,565.96
  6. Step 6: Final answer
    x = 14,971.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.