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Finding the Fourth Proportional to 12,053.52, 16,635.78 and 9,215.43

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Solution

The fourth proportional to 12,053.52, 16,635.78 and 9,215.43 is: 12,718.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.52 : 16,635.78 = 9,215.43 : x
  2. Step 2: Convert to fraction form
    12,053.52/16,635.78 = 9,215.43/x
  3. Step 3: Cross multiply
    12,053.52x = 16,635.78 × 9,215.43
  4. Step 4: Simplify right side
    12,053.52x = 153,305,866.09
  5. Step 5: Solve for x
    x = 153,305,866.09/12,053.52
  6. Step 6: Final answer
    x = 12,718.76

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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.