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Finding the Fourth Proportional to 23,517.98, 32,454.68 and 12,907.38

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Solution

The fourth proportional to 23,517.98, 32,454.68 and 12,907.38 is: 17,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,517.98 : 32,454.68 = 12,907.38 : x
  2. Step 2: Convert to fraction form
    23,517.98/32,454.68 = 12,907.38/x
  3. Step 3: Cross multiply
    23,517.98x = 32,454.68 × 12,907.38
  4. Step 4: Simplify right side
    23,517.98x = 418,904,823.00
  5. Step 5: Solve for x
    x = 418,904,823.00/23,517.98
  6. Step 6: Final answer
    x = 17,812.11

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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.