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Finding the Fourth Proportional to 16,221.52, 24,336 and 5,128.16

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Solution

The fourth proportional to 16,221.52, 24,336 and 5,128.16 is: 7,693.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.52 : 24,336 = 5,128.16 : x
  2. Step 2: Convert to fraction form
    16,221.52/24,336 = 5,128.16/x
  3. Step 3: Cross multiply
    16,221.52x = 24,336 × 5,128.16
  4. Step 4: Simplify right side
    16,221.52x = 124,798,901.76
  5. Step 5: Solve for x
    x = 124,798,901.76/16,221.52
  6. Step 6: Final answer
    x = 7,693.42

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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.