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Finding the Fourth Proportional to 12,432.67, 18,656.31 and 4,642.09

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Solution

The fourth proportional to 12,432.67, 18,656.31 and 4,642.09 is: 6,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432.67 : 18,656.31 = 4,642.09 : x
  2. Step 2: Convert to fraction form
    12,432.67/18,656.31 = 4,642.09/x
  3. Step 3: Cross multiply
    12,432.67x = 18,656.31 × 4,642.09
  4. Step 4: Simplify right side
    12,432.67x = 86,604,270.09
  5. Step 5: Solve for x
    x = 86,604,270.09/12,432.67
  6. Step 6: Final answer
    x = 6,965.86

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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.