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Finding the Fourth Proportional to 12,432.12, 18,651.42 and 4,641

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Solution

The fourth proportional to 12,432.12, 18,651.42 and 4,641 is: 6,962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432.12 : 18,651.42 = 4,641 : x
  2. Step 2: Convert to fraction form
    12,432.12/18,651.42 = 4,641/x
  3. Step 3: Cross multiply
    12,432.12x = 18,651.42 × 4,641
  4. Step 4: Simplify right side
    12,432.12x = 86,561,240.22
  5. Step 5: Solve for x
    x = 86,561,240.22/12,432.12
  6. Step 6: Final answer
    x = 6,962.71

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Why These Related Problems?

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