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Finding the Fourth Proportional to 24,213.59, 36,322.75 and 9,423.71

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Solution

The fourth proportional to 24,213.59, 36,322.75 and 9,423.71 is: 14,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,213.59 : 36,322.75 = 9,423.71 : x
  2. Step 2: Convert to fraction form
    24,213.59/36,322.75 = 9,423.71/x
  3. Step 3: Cross multiply
    24,213.59x = 36,322.75 × 9,423.71
  4. Step 4: Simplify right side
    24,213.59x = 342,295,062.40
  5. Step 5: Solve for x
    x = 342,295,062.40/24,213.59
  6. Step 6: Final answer
    x = 14,136.49

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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.