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Finding the Fourth Proportional to 15,022.56, 22,519.89 and 7,128.78

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Solution

The fourth proportional to 15,022.56, 22,519.89 and 7,128.78 is: 10,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,022.56 : 22,519.89 = 7,128.78 : x
  2. Step 2: Convert to fraction form
    15,022.56/22,519.89 = 7,128.78/x
  3. Step 3: Cross multiply
    15,022.56x = 22,519.89 × 7,128.78
  4. Step 4: Simplify right side
    15,022.56x = 160,539,341.43
  5. Step 5: Solve for x
    x = 160,539,341.43/15,022.56
  6. Step 6: Final answer
    x = 10,686.55

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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.