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Finding the Fourth Proportional to 20,686.18, 31,031.52 and 6,642.94

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Solution

The fourth proportional to 20,686.18, 31,031.52 and 6,642.94 is: 9,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,686.18 : 31,031.52 = 6,642.94 : x
  2. Step 2: Convert to fraction form
    20,686.18/31,031.52 = 6,642.94/x
  3. Step 3: Cross multiply
    20,686.18x = 31,031.52 × 6,642.94
  4. Step 4: Simplify right side
    20,686.18x = 206,140,525.47
  5. Step 5: Solve for x
    x = 206,140,525.47/20,686.18
  6. Step 6: Final answer
    x = 9,965.13

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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.