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Finding the Fourth Proportional to 21,031.42, 31,540.31 and 6,987.68

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Solution

The fourth proportional to 21,031.42, 31,540.31 and 6,987.68 is: 10,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,031.42 : 31,540.31 = 6,987.68 : x
  2. Step 2: Convert to fraction form
    21,031.42/31,540.31 = 6,987.68/x
  3. Step 3: Cross multiply
    21,031.42x = 31,540.31 × 6,987.68
  4. Step 4: Simplify right side
    21,031.42x = 220,393,645.23
  5. Step 5: Solve for x
    x = 220,393,645.23/21,031.42
  6. Step 6: Final answer
    x = 10,479.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.