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Finding the Fourth Proportional to 24,326.16, 36,454.94 and 11,489.64

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Solution

The fourth proportional to 24,326.16, 36,454.94 and 11,489.64 is: 17,218.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,326.16 : 36,454.94 = 11,489.64 : x
  2. Step 2: Convert to fraction form
    24,326.16/36,454.94 = 11,489.64/x
  3. Step 3: Cross multiply
    24,326.16x = 36,454.94 × 11,489.64
  4. Step 4: Simplify right side
    24,326.16x = 418,854,136.82
  5. Step 5: Solve for x
    x = 418,854,136.82/24,326.16
  6. Step 6: Final answer
    x = 17,218.26

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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.