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Finding the Fourth Proportional to 27,424.80, 41,128.96 and 8,704.08

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Solution

The fourth proportional to 27,424.80, 41,128.96 and 8,704.08 is: 13,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424.80 : 41,128.96 = 8,704.08 : x
  2. Step 2: Convert to fraction form
    27,424.80/41,128.96 = 8,704.08/x
  3. Step 3: Cross multiply
    27,424.80x = 41,128.96 × 8,704.08
  4. Step 4: Simplify right side
    27,424.80x = 357,989,758.16
  5. Step 5: Solve for x
    x = 357,989,758.16/27,424.80
  6. Step 6: Final answer
    x = 13,053.50

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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.