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Finding the Fourth Proportional to 42,287.12, 63,414.36 and 12,698

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Solution

The fourth proportional to 42,287.12, 63,414.36 and 12,698 is: 19,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,287.12 : 63,414.36 = 12,698 : x
  2. Step 2: Convert to fraction form
    42,287.12/63,414.36 = 12,698/x
  3. Step 3: Cross multiply
    42,287.12x = 63,414.36 × 12,698
  4. Step 4: Simplify right side
    42,287.12x = 805,235,543.28
  5. Step 5: Solve for x
    x = 805,235,543.28/42,287.12
  6. Step 6: Final answer
    x = 19,042.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.