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Finding the Fourth Proportional to 24,561.33, 36,849.18 and 7,921.02

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Solution

The fourth proportional to 24,561.33, 36,849.18 and 7,921.02 is: 11,883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,561.33 : 36,849.18 = 7,921.02 : x
  2. Step 2: Convert to fraction form
    24,561.33/36,849.18 = 7,921.02/x
  3. Step 3: Cross multiply
    24,561.33x = 36,849.18 × 7,921.02
  4. Step 4: Simplify right side
    24,561.33x = 291,883,091.76
  5. Step 5: Solve for x
    x = 291,883,091.76/24,561.33
  6. Step 6: Final answer
    x = 11,883.85

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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.