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Finding the Fourth Proportional to 14,742, 22,116.65 and 4,882.28

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Solution

The fourth proportional to 14,742, 22,116.65 and 4,882.28 is: 7,324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742 : 22,116.65 = 4,882.28 : x
  2. Step 2: Convert to fraction form
    14,742/22,116.65 = 4,882.28/x
  3. Step 3: Cross multiply
    14,742x = 22,116.65 × 4,882.28
  4. Step 4: Simplify right side
    14,742x = 107,979,542.97
  5. Step 5: Solve for x
    x = 107,979,542.97/14,742
  6. Step 6: Final answer
    x = 7,324.62

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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.