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Finding the Fourth Proportional to 12,642.71, 18,962.77 and 7,948.49

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Solution

The fourth proportional to 12,642.71, 18,962.77 and 7,948.49 is: 11,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.71 : 18,962.77 = 7,948.49 : x
  2. Step 2: Convert to fraction form
    12,642.71/18,962.77 = 7,948.49/x
  3. Step 3: Cross multiply
    12,642.71x = 18,962.77 × 7,948.49
  4. Step 4: Simplify right side
    12,642.71x = 150,725,387.72
  5. Step 5: Solve for x
    x = 150,725,387.72/12,642.71
  6. Step 6: Final answer
    x = 11,921.92

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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.