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Finding the Fourth Proportional to 12,971.71, 17,902.24 and 7,593.83

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Solution

The fourth proportional to 12,971.71, 17,902.24 and 7,593.83 is: 10,480.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.71 : 17,902.24 = 7,593.83 : x
  2. Step 2: Convert to fraction form
    12,971.71/17,902.24 = 7,593.83/x
  3. Step 3: Cross multiply
    12,971.71x = 17,902.24 × 7,593.83
  4. Step 4: Simplify right side
    12,971.71x = 135,946,567.18
  5. Step 5: Solve for x
    x = 135,946,567.18/12,971.71
  6. Step 6: Final answer
    x = 10,480.23

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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.