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Finding the Fourth Proportional to 25,509.75, 38,267.42 and 8,654.93

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Solution

The fourth proportional to 25,509.75, 38,267.42 and 8,654.93 is: 12,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509.75 : 38,267.42 = 8,654.93 : x
  2. Step 2: Convert to fraction form
    25,509.75/38,267.42 = 8,654.93/x
  3. Step 3: Cross multiply
    25,509.75x = 38,267.42 × 8,654.93
  4. Step 4: Simplify right side
    25,509.75x = 331,201,841.38
  5. Step 5: Solve for x
    x = 331,201,841.38/25,509.75
  6. Step 6: Final answer
    x = 12,983.34

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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.