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Finding the Fourth Proportional to 20,806.98, 31,209.65 and 11,465.52

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Solution

The fourth proportional to 20,806.98, 31,209.65 and 11,465.52 is: 17,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.98 : 31,209.65 = 11,465.52 : x
  2. Step 2: Convert to fraction form
    20,806.98/31,209.65 = 11,465.52/x
  3. Step 3: Cross multiply
    20,806.98x = 31,209.65 × 11,465.52
  4. Step 4: Simplify right side
    20,806.98x = 357,834,710.22
  5. Step 5: Solve for x
    x = 357,834,710.22/20,806.98
  6. Step 6: Final answer
    x = 17,197.82

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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.