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Finding the Fourth Proportional to 24,708.95, 37,067.04 and 7,176.50

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Solution

The fourth proportional to 24,708.95, 37,067.04 and 7,176.50 is: 10,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,708.95 : 37,067.04 = 7,176.50 : x
  2. Step 2: Convert to fraction form
    24,708.95/37,067.04 = 7,176.50/x
  3. Step 3: Cross multiply
    24,708.95x = 37,067.04 × 7,176.50
  4. Step 4: Simplify right side
    24,708.95x = 266,011,576.68
  5. Step 5: Solve for x
    x = 266,011,576.68/24,708.95
  6. Step 6: Final answer
    x = 10,765.80

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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.