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Finding the Fourth Proportional to 15,178.80, 22,762.72 and 6,414.39

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Solution

The fourth proportional to 15,178.80, 22,762.72 and 6,414.39 is: 9,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.80 : 22,762.72 = 6,414.39 : x
  2. Step 2: Convert to fraction form
    15,178.80/22,762.72 = 6,414.39/x
  3. Step 3: Cross multiply
    15,178.80x = 22,762.72 × 6,414.39
  4. Step 4: Simplify right side
    15,178.80x = 146,008,963.54
  5. Step 5: Solve for x
    x = 146,008,963.54/15,178.80
  6. Step 6: Final answer
    x = 9,619.27

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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.