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Finding the Fourth Proportional to 16,102.61, 22,221.56 and 9,028.88

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Solution

The fourth proportional to 16,102.61, 22,221.56 and 9,028.88 is: 12,459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.61 : 22,221.56 = 9,028.88 : x
  2. Step 2: Convert to fraction form
    16,102.61/22,221.56 = 9,028.88/x
  3. Step 3: Cross multiply
    16,102.61x = 22,221.56 × 9,028.88
  4. Step 4: Simplify right side
    16,102.61x = 200,635,710.12
  5. Step 5: Solve for x
    x = 200,635,710.12/16,102.61
  6. Step 6: Final answer
    x = 12,459.83

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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.