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Finding the Fourth Proportional to 22,421.49, 33,609.16 and 9,947.39

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Solution

The fourth proportional to 22,421.49, 33,609.16 and 9,947.39 is: 14,910.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,421.49 : 33,609.16 = 9,947.39 : x
  2. Step 2: Convert to fraction form
    22,421.49/33,609.16 = 9,947.39/x
  3. Step 3: Cross multiply
    22,421.49x = 33,609.16 × 9,947.39
  4. Step 4: Simplify right side
    22,421.49x = 334,323,455.53
  5. Step 5: Solve for x
    x = 334,323,455.53/22,421.49
  6. Step 6: Final answer
    x = 14,910.85

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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.