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Finding the Fourth Proportional to 24,205.30, 36,318.29 and 11,734.54

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Solution

The fourth proportional to 24,205.30, 36,318.29 and 11,734.54 is: 17,606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.30 : 36,318.29 = 11,734.54 : x
  2. Step 2: Convert to fraction form
    24,205.30/36,318.29 = 11,734.54/x
  3. Step 3: Cross multiply
    24,205.30x = 36,318.29 × 11,734.54
  4. Step 4: Simplify right side
    24,205.30x = 426,178,426.74
  5. Step 5: Solve for x
    x = 426,178,426.74/24,205.30
  6. Step 6: Final answer
    x = 17,606.82

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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.