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Finding the Fourth Proportional to 15,077.66, 22,618.24 and 5,724.68

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Solution

The fourth proportional to 15,077.66, 22,618.24 and 5,724.68 is: 8,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,077.66 : 22,618.24 = 5,724.68 : x
  2. Step 2: Convert to fraction form
    15,077.66/22,618.24 = 5,724.68/x
  3. Step 3: Cross multiply
    15,077.66x = 22,618.24 × 5,724.68
  4. Step 4: Simplify right side
    15,077.66x = 129,482,058.76
  5. Step 5: Solve for x
    x = 129,482,058.76/15,077.66
  6. Step 6: Final answer
    x = 8,587.68

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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.