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Finding the Fourth Proportional to 24,204.60, 36,302.10 and 11,724.60

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Solution

The fourth proportional to 24,204.60, 36,302.10 and 11,724.60 is: 17,584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,204.60 : 36,302.10 = 11,724.60 : x
  2. Step 2: Convert to fraction form
    24,204.60/36,302.10 = 11,724.60/x
  3. Step 3: Cross multiply
    24,204.60x = 36,302.10 × 11,724.60
  4. Step 4: Simplify right side
    24,204.60x = 425,627,601.66
  5. Step 5: Solve for x
    x = 425,627,601.66/24,204.60
  6. Step 6: Final answer
    x = 17,584.57

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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.