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Finding the Fourth Proportional to 22,001.76, 33,008.04 and 6,419.52

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Solution

The fourth proportional to 22,001.76, 33,008.04 and 6,419.52 is: 9,630.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,001.76 : 33,008.04 = 6,419.52 : x
  2. Step 2: Convert to fraction form
    22,001.76/33,008.04 = 6,419.52/x
  3. Step 3: Cross multiply
    22,001.76x = 33,008.04 × 6,419.52
  4. Step 4: Simplify right side
    22,001.76x = 211,895,772.94
  5. Step 5: Solve for x
    x = 211,895,772.94/22,001.76
  6. Step 6: Final answer
    x = 9,630.86

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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.