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Finding the Fourth Proportional to 24,426.40, 36,617.40 and 8,833

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Solution

The fourth proportional to 24,426.40, 36,617.40 and 8,833 is: 13,241.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,426.40 : 36,617.40 = 8,833 : x
  2. Step 2: Convert to fraction form
    24,426.40/36,617.40 = 8,833/x
  3. Step 3: Cross multiply
    24,426.40x = 36,617.40 × 8,833
  4. Step 4: Simplify right side
    24,426.40x = 323,441,494.20
  5. Step 5: Solve for x
    x = 323,441,494.20/24,426.40
  6. Step 6: Final answer
    x = 13,241.47

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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.