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Finding the Fourth Proportional to 23,689.40, 32,691.38 and 13,079.12

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Solution

The fourth proportional to 23,689.40, 32,691.38 and 13,079.12 is: 18,049.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689.40 : 32,691.38 = 13,079.12 : x
  2. Step 2: Convert to fraction form
    23,689.40/32,691.38 = 13,079.12/x
  3. Step 3: Cross multiply
    23,689.40x = 32,691.38 × 13,079.12
  4. Step 4: Simplify right side
    23,689.40x = 427,574,253.13
  5. Step 5: Solve for x
    x = 427,574,253.13/23,689.40
  6. Step 6: Final answer
    x = 18,049.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.