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Finding the Fourth Proportional to 24,951.16, 37,423.74 and 10,921

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Solution

The fourth proportional to 24,951.16, 37,423.74 and 10,921 is: 16,380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,951.16 : 37,423.74 = 10,921 : x
  2. Step 2: Convert to fraction form
    24,951.16/37,423.74 = 10,921/x
  3. Step 3: Cross multiply
    24,951.16x = 37,423.74 × 10,921
  4. Step 4: Simplify right side
    24,951.16x = 408,704,664.54
  5. Step 5: Solve for x
    x = 408,704,664.54/24,951.16
  6. Step 6: Final answer
    x = 16,380.19

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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.