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Finding the Fourth Proportional to 14,863.22, 22,302.10 and 6,542.20

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Solution

The fourth proportional to 14,863.22, 22,302.10 and 6,542.20 is: 9,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863.22 : 22,302.10 = 6,542.20 : x
  2. Step 2: Convert to fraction form
    14,863.22/22,302.10 = 6,542.20/x
  3. Step 3: Cross multiply
    14,863.22x = 22,302.10 × 6,542.20
  4. Step 4: Simplify right side
    14,863.22x = 145,904,798.62
  5. Step 5: Solve for x
    x = 145,904,798.62/14,863.22
  6. Step 6: Final answer
    x = 9,816.50

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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.