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Finding the Fourth Proportional to 23,242.92, 32,071.26 and 13,033.68

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Solution

The fourth proportional to 23,242.92, 32,071.26 and 13,033.68 is: 17,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,242.92 : 32,071.26 = 13,033.68 : x
  2. Step 2: Convert to fraction form
    23,242.92/32,071.26 = 13,033.68/x
  3. Step 3: Cross multiply
    23,242.92x = 32,071.26 × 13,033.68
  4. Step 4: Simplify right side
    23,242.92x = 418,006,540.04
  5. Step 5: Solve for x
    x = 418,006,540.04/23,242.92
  6. Step 6: Final answer
    x = 17,984.25

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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.