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Finding the Fourth Proportional to 24,965.28, 37,438.74 and 10,166.16

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Solution

The fourth proportional to 24,965.28, 37,438.74 and 10,166.16 is: 15,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,965.28 : 37,438.74 = 10,166.16 : x
  2. Step 2: Convert to fraction form
    24,965.28/37,438.74 = 10,166.16/x
  3. Step 3: Cross multiply
    24,965.28x = 37,438.74 × 10,166.16
  4. Step 4: Simplify right side
    24,965.28x = 380,608,221.04
  5. Step 5: Solve for x
    x = 380,608,221.04/24,965.28
  6. Step 6: Final answer
    x = 15,245.50

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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.