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Finding the Fourth Proportional to 13,221.77, 19,833.12 and 4,456.76

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Solution

The fourth proportional to 13,221.77, 19,833.12 and 4,456.76 is: 6,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221.77 : 19,833.12 = 4,456.76 : x
  2. Step 2: Convert to fraction form
    13,221.77/19,833.12 = 4,456.76/x
  3. Step 3: Cross multiply
    13,221.77x = 19,833.12 × 4,456.76
  4. Step 4: Simplify right side
    13,221.77x = 88,391,356.73
  5. Step 5: Solve for x
    x = 88,391,356.73/13,221.77
  6. Step 6: Final answer
    x = 6,685.29

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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.