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Finding the Fourth Proportional to 16,178.60, 24,251.72 and 6,820.88

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Solution

The fourth proportional to 16,178.60, 24,251.72 and 6,820.88 is: 10,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.60 : 24,251.72 = 6,820.88 : x
  2. Step 2: Convert to fraction form
    16,178.60/24,251.72 = 6,820.88/x
  3. Step 3: Cross multiply
    16,178.60x = 24,251.72 × 6,820.88
  4. Step 4: Simplify right side
    16,178.60x = 165,418,071.91
  5. Step 5: Solve for x
    x = 165,418,071.91/16,178.60
  6. Step 6: Final answer
    x = 10,224.50

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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.