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Finding the Fourth Proportional to 20,729.12, 31,098.11 and 6,689.95

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Solution

The fourth proportional to 20,729.12, 31,098.11 and 6,689.95 is: 10,036.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,729.12 : 31,098.11 = 6,689.95 : x
  2. Step 2: Convert to fraction form
    20,729.12/31,098.11 = 6,689.95/x
  3. Step 3: Cross multiply
    20,729.12x = 31,098.11 × 6,689.95
  4. Step 4: Simplify right side
    20,729.12x = 208,044,800.99
  5. Step 5: Solve for x
    x = 208,044,800.99/20,729.12
  6. Step 6: Final answer
    x = 10,036.35

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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.