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Finding the Fourth Proportional to 21,175.27, 31,764.23 and 7,134.13

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Solution

The fourth proportional to 21,175.27, 31,764.23 and 7,134.13 is: 10,701.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.27 : 31,764.23 = 7,134.13 : x
  2. Step 2: Convert to fraction form
    21,175.27/31,764.23 = 7,134.13/x
  3. Step 3: Cross multiply
    21,175.27x = 31,764.23 × 7,134.13
  4. Step 4: Simplify right side
    21,175.27x = 226,610,110.50
  5. Step 5: Solve for x
    x = 226,610,110.50/21,175.27
  6. Step 6: Final answer
    x = 10,701.64

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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.