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Finding the Fourth Proportional to 23,229.92, 32,064.16 and 13,804.16

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Solution

The fourth proportional to 23,229.92, 32,064.16 and 13,804.16 is: 19,053.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,229.92 : 32,064.16 = 13,804.16 : x
  2. Step 2: Convert to fraction form
    23,229.92/32,064.16 = 13,804.16/x
  3. Step 3: Cross multiply
    23,229.92x = 32,064.16 × 13,804.16
  4. Step 4: Simplify right side
    23,229.92x = 442,618,794.91
  5. Step 5: Solve for x
    x = 442,618,794.91/23,229.92
  6. Step 6: Final answer
    x = 19,053.82

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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.