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Finding the Fourth Proportional to 24,833.76, 37,242.72 and 8,189.92

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Solution

The fourth proportional to 24,833.76, 37,242.72 and 8,189.92 is: 12,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,833.76 : 37,242.72 = 8,189.92 : x
  2. Step 2: Convert to fraction form
    24,833.76/37,242.72 = 8,189.92/x
  3. Step 3: Cross multiply
    24,833.76x = 37,242.72 × 8,189.92
  4. Step 4: Simplify right side
    24,833.76x = 305,014,897.38
  5. Step 5: Solve for x
    x = 305,014,897.38/24,833.76
  6. Step 6: Final answer
    x = 12,282.27

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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.