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Finding the Fourth Proportional to 20,802.39, 31,209.03 and 7,654.92

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Solution

The fourth proportional to 20,802.39, 31,209.03 and 7,654.92 is: 11,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.39 : 31,209.03 = 7,654.92 : x
  2. Step 2: Convert to fraction form
    20,802.39/31,209.03 = 7,654.92/x
  3. Step 3: Cross multiply
    20,802.39x = 31,209.03 × 7,654.92
  4. Step 4: Simplify right side
    20,802.39x = 238,902,627.93
  5. Step 5: Solve for x
    x = 238,902,627.93/20,802.39
  6. Step 6: Final answer
    x = 11,484.38

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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.