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Finding the Fourth Proportional to 25,509.60, 38,267.18 and 8,654.77

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Solution

The fourth proportional to 25,509.60, 38,267.18 and 8,654.77 is: 12,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509.60 : 38,267.18 = 8,654.77 : x
  2. Step 2: Convert to fraction form
    25,509.60/38,267.18 = 8,654.77/x
  3. Step 3: Cross multiply
    25,509.60x = 38,267.18 × 8,654.77
  4. Step 4: Simplify right side
    25,509.60x = 331,193,834.77
  5. Step 5: Solve for x
    x = 331,193,834.77/25,509.60
  6. Step 6: Final answer
    x = 12,983.11

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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.