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Finding the Fourth Proportional to 19,642.61, 29,468.52 and 6,494.97

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Solution

The fourth proportional to 19,642.61, 29,468.52 and 6,494.97 is: 9,743.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.61 : 29,468.52 = 6,494.97 : x
  2. Step 2: Convert to fraction form
    19,642.61/29,468.52 = 6,494.97/x
  3. Step 3: Cross multiply
    19,642.61x = 29,468.52 × 6,494.97
  4. Step 4: Simplify right side
    19,642.61x = 191,397,153.34
  5. Step 5: Solve for x
    x = 191,397,153.34/19,642.61
  6. Step 6: Final answer
    x = 9,743.98

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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.