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Finding the Fourth Proportional to 24,671.70, 37,013.00 and 11,516.90

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Solution

The fourth proportional to 24,671.70, 37,013.00 and 11,516.90 is: 17,277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,671.70 : 37,013.00 = 11,516.90 : x
  2. Step 2: Convert to fraction form
    24,671.70/37,013.00 = 11,516.90/x
  3. Step 3: Cross multiply
    24,671.70x = 37,013.00 × 11,516.90
  4. Step 4: Simplify right side
    24,671.70x = 426,274,777.05
  5. Step 5: Solve for x
    x = 426,274,777.05/24,671.70
  6. Step 6: Final answer
    x = 17,277.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.