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Finding the Fourth Proportional to 24,672.32, 37,013.88 and 7,142.84

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Solution

The fourth proportional to 24,672.32, 37,013.88 and 7,142.84 is: 10,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,672.32 : 37,013.88 = 7,142.84 : x
  2. Step 2: Convert to fraction form
    24,672.32/37,013.88 = 7,142.84/x
  3. Step 3: Cross multiply
    24,672.32x = 37,013.88 × 7,142.84
  4. Step 4: Simplify right side
    24,672.32x = 264,384,222.62
  5. Step 5: Solve for x
    x = 264,384,222.62/24,672.32
  6. Step 6: Final answer
    x = 10,715.82

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1.5x scale

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.