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Finding the Fourth Proportional to 14,471.28, 21,710.80 and 6,151.68

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Solution

The fourth proportional to 14,471.28, 21,710.80 and 6,151.68 is: 9,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.28 : 21,710.80 = 6,151.68 : x
  2. Step 2: Convert to fraction form
    14,471.28/21,710.80 = 6,151.68/x
  3. Step 3: Cross multiply
    14,471.28x = 21,710.80 × 6,151.68
  4. Step 4: Simplify right side
    14,471.28x = 133,557,894.14
  5. Step 5: Solve for x
    x = 133,557,894.14/14,471.28
  6. Step 6: Final answer
    x = 9,229.17

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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.