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Finding the Fourth Proportional to 22,097.52, 30,494.34 and 13,144.86

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Solution

The fourth proportional to 22,097.52, 30,494.34 and 13,144.86 is: 18,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.52 : 30,494.34 = 13,144.86 : x
  2. Step 2: Convert to fraction form
    22,097.52/30,494.34 = 13,144.86/x
  3. Step 3: Cross multiply
    22,097.52x = 30,494.34 × 13,144.86
  4. Step 4: Simplify right side
    22,097.52x = 400,843,830.09
  5. Step 5: Solve for x
    x = 400,843,830.09/22,097.52
  6. Step 6: Final answer
    x = 18,139.77

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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.