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Finding the Fourth Proportional to 24,274.74, 36,426.27 and 10,233.90

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Solution

The fourth proportional to 24,274.74, 36,426.27 and 10,233.90 is: 15,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274.74 : 36,426.27 = 10,233.90 : x
  2. Step 2: Convert to fraction form
    24,274.74/36,426.27 = 10,233.90/x
  3. Step 3: Cross multiply
    24,274.74x = 36,426.27 × 10,233.90
  4. Step 4: Simplify right side
    24,274.74x = 372,782,804.55
  5. Step 5: Solve for x
    x = 372,782,804.55/24,274.74
  6. Step 6: Final answer
    x = 15,356.82

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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.