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Finding the Fourth Proportional to 24,082.83, 36,124.50 and 10,756.50

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Solution

The fourth proportional to 24,082.83, 36,124.50 and 10,756.50 is: 16,134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,082.83 : 36,124.50 = 10,756.50 : x
  2. Step 2: Convert to fraction form
    24,082.83/36,124.50 = 10,756.50/x
  3. Step 3: Cross multiply
    24,082.83x = 36,124.50 × 10,756.50
  4. Step 4: Simplify right side
    24,082.83x = 388,573,120.83
  5. Step 5: Solve for x
    x = 388,573,120.83/24,082.83
  6. Step 6: Final answer
    x = 16,134.86

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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.