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Finding the Fourth Proportional to 27,041.52, 40,543.82 and 9,267.36

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Solution

The fourth proportional to 27,041.52, 40,543.82 and 9,267.36 is: 13,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,041.52 : 40,543.82 = 9,267.36 : x
  2. Step 2: Convert to fraction form
    27,041.52/40,543.82 = 9,267.36/x
  3. Step 3: Cross multiply
    27,041.52x = 40,543.82 × 9,267.36
  4. Step 4: Simplify right side
    27,041.52x = 375,734,175.72
  5. Step 5: Solve for x
    x = 375,734,175.72/27,041.52
  6. Step 6: Final answer
    x = 13,894.71

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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.