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Finding the Fourth Proportional to 25,781.10, 38,660.73 and 9,145.32

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Solution

The fourth proportional to 25,781.10, 38,660.73 and 9,145.32 is: 13,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,781.10 : 38,660.73 = 9,145.32 : x
  2. Step 2: Convert to fraction form
    25,781.10/38,660.73 = 9,145.32/x
  3. Step 3: Cross multiply
    25,781.10x = 38,660.73 × 9,145.32
  4. Step 4: Simplify right side
    25,781.10x = 353,564,747.28
  5. Step 5: Solve for x
    x = 353,564,747.28/25,781.10
  6. Step 6: Final answer
    x = 13,714.11

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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.