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Finding the Fourth Proportional to 24,482.56, 36,722.88 and 7,843.48

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Solution

The fourth proportional to 24,482.56, 36,722.88 and 7,843.48 is: 11,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,482.56 : 36,722.88 = 7,843.48 : x
  2. Step 2: Convert to fraction form
    24,482.56/36,722.88 = 7,843.48/x
  3. Step 3: Cross multiply
    24,482.56x = 36,722.88 × 7,843.48
  4. Step 4: Simplify right side
    24,482.56x = 288,035,174.82
  5. Step 5: Solve for x
    x = 288,035,174.82/24,482.56
  6. Step 6: Final answer
    x = 11,764.91

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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.