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Finding the Fourth Proportional to 24,242.40, 36,336.63 and 10,198.23

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Solution

The fourth proportional to 24,242.40, 36,336.63 and 10,198.23 is: 15,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,242.40 : 36,336.63 = 10,198.23 : x
  2. Step 2: Convert to fraction form
    24,242.40/36,336.63 = 10,198.23/x
  3. Step 3: Cross multiply
    24,242.40x = 36,336.63 × 10,198.23
  4. Step 4: Simplify right side
    24,242.40x = 370,569,310.16
  5. Step 5: Solve for x
    x = 370,569,310.16/24,242.40
  6. Step 6: Final answer
    x = 15,286.00

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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.