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Finding the Fourth Proportional to 24,932.26, 37,423.74 and 12,461.23

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Solution

The fourth proportional to 24,932.26, 37,423.74 and 12,461.23 is: 18,704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,932.26 : 37,423.74 = 12,461.23 : x
  2. Step 2: Convert to fraction form
    24,932.26/37,423.74 = 12,461.23/x
  3. Step 3: Cross multiply
    24,932.26x = 37,423.74 × 12,461.23
  4. Step 4: Simplify right side
    24,932.26x = 466,345,831.60
  5. Step 5: Solve for x
    x = 466,345,831.60/24,932.26
  6. Step 6: Final answer
    x = 18,704.52

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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.