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Finding the Fourth Proportional to 22,451.23, 33,658.48 and 9,296.47

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Solution

The fourth proportional to 22,451.23, 33,658.48 and 9,296.47 is: 13,937.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451.23 : 33,658.48 = 9,296.47 : x
  2. Step 2: Convert to fraction form
    22,451.23/33,658.48 = 9,296.47/x
  3. Step 3: Cross multiply
    22,451.23x = 33,658.48 × 9,296.47
  4. Step 4: Simplify right side
    22,451.23x = 312,905,049.57
  5. Step 5: Solve for x
    x = 312,905,049.57/22,451.23
  6. Step 6: Final answer
    x = 13,937.10

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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.