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Finding the Fourth Proportional to 14,932.17, 22,404.20 and 6,165.05

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Solution

The fourth proportional to 14,932.17, 22,404.20 and 6,165.05 is: 9,250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,932.17 : 22,404.20 = 6,165.05 : x
  2. Step 2: Convert to fraction form
    14,932.17/22,404.20 = 6,165.05/x
  3. Step 3: Cross multiply
    14,932.17x = 22,404.20 × 6,165.05
  4. Step 4: Simplify right side
    14,932.17x = 138,122,870.36
  5. Step 5: Solve for x
    x = 138,122,870.36/14,932.17
  6. Step 6: Final answer
    x = 9,250.02

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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.