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Finding the Fourth Proportional to 15,156.72, 22,731.84 and 4,766.16

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Solution

The fourth proportional to 15,156.72, 22,731.84 and 4,766.16 is: 7,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,156.72 : 22,731.84 = 4,766.16 : x
  2. Step 2: Convert to fraction form
    15,156.72/22,731.84 = 4,766.16/x
  3. Step 3: Cross multiply
    15,156.72x = 22,731.84 × 4,766.16
  4. Step 4: Simplify right side
    15,156.72x = 108,343,586.53
  5. Step 5: Solve for x
    x = 108,343,586.53/15,156.72
  6. Step 6: Final answer
    x = 7,148.22

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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.