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Finding the Fourth Proportional to 20,071.39, 30,108.05 and 9,691.87

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Solution

The fourth proportional to 20,071.39, 30,108.05 and 9,691.87 is: 14,538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071.39 : 30,108.05 = 9,691.87 : x
  2. Step 2: Convert to fraction form
    20,071.39/30,108.05 = 9,691.87/x
  3. Step 3: Cross multiply
    20,071.39x = 30,108.05 × 9,691.87
  4. Step 4: Simplify right side
    20,071.39x = 291,803,258.09
  5. Step 5: Solve for x
    x = 291,803,258.09/20,071.39
  6. Step 6: Final answer
    x = 14,538.27

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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.