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Finding the Fourth Proportional to 25,708.49, 38,565.85 and 9,065.12

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Solution

The fourth proportional to 25,708.49, 38,565.85 and 9,065.12 is: 13,598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,708.49 : 38,565.85 = 9,065.12 : x
  2. Step 2: Convert to fraction form
    25,708.49/38,565.85 = 9,065.12/x
  3. Step 3: Cross multiply
    25,708.49x = 38,565.85 × 9,065.12
  4. Step 4: Simplify right side
    25,708.49x = 349,603,834.16
  5. Step 5: Solve for x
    x = 349,603,834.16/25,708.49
  6. Step 6: Final answer
    x = 13,598.77

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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.