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Finding the Fourth Proportional to 21,144.06, 31,708.80 and 7,101.90

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Solution

The fourth proportional to 21,144.06, 31,708.80 and 7,101.90 is: 10,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,144.06 : 31,708.80 = 7,101.90 : x
  2. Step 2: Convert to fraction form
    21,144.06/31,708.80 = 7,101.90/x
  3. Step 3: Cross multiply
    21,144.06x = 31,708.80 × 7,101.90
  4. Step 4: Simplify right side
    21,144.06x = 225,192,726.72
  5. Step 5: Solve for x
    x = 225,192,726.72/21,144.06
  6. Step 6: Final answer
    x = 10,650.40

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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.