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Finding the Fourth Proportional to 24,617.38, 36,922.42 and 7,978.88

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Solution

The fourth proportional to 24,617.38, 36,922.42 and 7,978.88 is: 11,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,617.38 : 36,922.42 = 7,978.88 : x
  2. Step 2: Convert to fraction form
    24,617.38/36,922.42 = 7,978.88/x
  3. Step 3: Cross multiply
    24,617.38x = 36,922.42 × 7,978.88
  4. Step 4: Simplify right side
    24,617.38x = 294,599,558.49
  5. Step 5: Solve for x
    x = 294,599,558.49/24,617.38
  6. Step 6: Final answer
    x = 11,967.14

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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.