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Finding the Fourth Proportional to 15,124.16, 22,637.70 and 8,086.58

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Solution

The fourth proportional to 15,124.16, 22,637.70 and 8,086.58 is: 12,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,124.16 : 22,637.70 = 8,086.58 : x
  2. Step 2: Convert to fraction form
    15,124.16/22,637.70 = 8,086.58/x
  3. Step 3: Cross multiply
    15,124.16x = 22,637.70 × 8,086.58
  4. Step 4: Simplify right side
    15,124.16x = 183,061,572.07
  5. Step 5: Solve for x
    x = 183,061,572.07/15,124.16
  6. Step 6: Final answer
    x = 12,103.92

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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.