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Finding the Fourth Proportional to 15,178.56, 22,767.84 and 6,862.53

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Solution

The fourth proportional to 15,178.56, 22,767.84 and 6,862.53 is: 10,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.56 : 22,767.84 = 6,862.53 : x
  2. Step 2: Convert to fraction form
    15,178.56/22,767.84 = 6,862.53/x
  3. Step 3: Cross multiply
    15,178.56x = 22,767.84 × 6,862.53
  4. Step 4: Simplify right side
    15,178.56x = 156,244,985.04
  5. Step 5: Solve for x
    x = 156,244,985.04/15,178.56
  6. Step 6: Final answer
    x = 10,293.80

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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.