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Finding the Fourth Proportional to 12,265.74, 18,385.92 and 5,686.56

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Solution

The fourth proportional to 12,265.74, 18,385.92 and 5,686.56 is: 8,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.74 : 18,385.92 = 5,686.56 : x
  2. Step 2: Convert to fraction form
    12,265.74/18,385.92 = 5,686.56/x
  3. Step 3: Cross multiply
    12,265.74x = 18,385.92 × 5,686.56
  4. Step 4: Simplify right side
    12,265.74x = 104,552,637.24
  5. Step 5: Solve for x
    x = 104,552,637.24/12,265.74
  6. Step 6: Final answer
    x = 8,523.96

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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.