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Finding the Fourth Proportional to 24,071.82, 36,108.48 and 6,542.04

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Solution

The fourth proportional to 24,071.82, 36,108.48 and 6,542.04 is: 9,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,071.82 : 36,108.48 = 6,542.04 : x
  2. Step 2: Convert to fraction form
    24,071.82/36,108.48 = 6,542.04/x
  3. Step 3: Cross multiply
    24,071.82x = 36,108.48 × 6,542.04
  4. Step 4: Simplify right side
    24,071.82x = 236,223,120.50
  5. Step 5: Solve for x
    x = 236,223,120.50/24,071.82
  6. Step 6: Final answer
    x = 9,813.26

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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.