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Finding the Fourth Proportional to 23,428.88, 32,331.78 and 12,818.42

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Solution

The fourth proportional to 23,428.88, 32,331.78 and 12,818.42 is: 17,689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,428.88 : 32,331.78 = 12,818.42 : x
  2. Step 2: Convert to fraction form
    23,428.88/32,331.78 = 12,818.42/x
  3. Step 3: Cross multiply
    23,428.88x = 32,331.78 × 12,818.42
  4. Step 4: Simplify right side
    23,428.88x = 414,442,335.39
  5. Step 5: Solve for x
    x = 414,442,335.39/23,428.88
  6. Step 6: Final answer
    x = 17,689.38

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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.