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Finding the Fourth Proportional to 15,028.84, 22,543.18 and 6,142.30

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Solution

The fourth proportional to 15,028.84, 22,543.18 and 6,142.30 is: 9,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,028.84 : 22,543.18 = 6,142.30 : x
  2. Step 2: Convert to fraction form
    15,028.84/22,543.18 = 6,142.30/x
  3. Step 3: Cross multiply
    15,028.84x = 22,543.18 × 6,142.30
  4. Step 4: Simplify right side
    15,028.84x = 138,466,902.80
  5. Step 5: Solve for x
    x = 138,466,902.80/15,028.84
  6. Step 6: Final answer
    x = 9,213.41

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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.