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Finding the Fourth Proportional to 12,641.92, 17,444.64 and 7,053.28

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Solution

The fourth proportional to 12,641.92, 17,444.64 and 7,053.28 is: 9,732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.92 : 17,444.64 = 7,053.28 : x
  2. Step 2: Convert to fraction form
    12,641.92/17,444.64 = 7,053.28/x
  3. Step 3: Cross multiply
    12,641.92x = 17,444.64 × 7,053.28
  4. Step 4: Simplify right side
    12,641.92x = 123,041,930.42
  5. Step 5: Solve for x
    x = 123,041,930.42/12,641.92
  6. Step 6: Final answer
    x = 9,732.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.