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Finding the Fourth Proportional to 25,710.57, 38,565.32 and 11,859.57

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Solution

The fourth proportional to 25,710.57, 38,565.32 and 11,859.57 is: 17,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,710.57 : 38,565.32 = 11,859.57 : x
  2. Step 2: Convert to fraction form
    25,710.57/38,565.32 = 11,859.57/x
  3. Step 3: Cross multiply
    25,710.57x = 38,565.32 × 11,859.57
  4. Step 4: Simplify right side
    25,710.57x = 457,368,052.81
  5. Step 5: Solve for x
    x = 457,368,052.81/25,710.57
  6. Step 6: Final answer
    x = 17,789.11

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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.