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Finding the Fourth Proportional to 14,071.68, 21,102.38 and 6,168.76

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Solution

The fourth proportional to 14,071.68, 21,102.38 and 6,168.76 is: 9,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.68 : 21,102.38 = 6,168.76 : x
  2. Step 2: Convert to fraction form
    14,071.68/21,102.38 = 6,168.76/x
  3. Step 3: Cross multiply
    14,071.68x = 21,102.38 × 6,168.76
  4. Step 4: Simplify right side
    14,071.68x = 130,175,517.65
  5. Step 5: Solve for x
    x = 130,175,517.65/14,071.68
  6. Step 6: Final answer
    x = 9,250.89

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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.