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Finding the Fourth Proportional to 13,493.40, 20,207.70 and 6,559.80

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Solution

The fourth proportional to 13,493.40, 20,207.70 and 6,559.80 is: 9,823.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.40 : 20,207.70 = 6,559.80 : x
  2. Step 2: Convert to fraction form
    13,493.40/20,207.70 = 6,559.80/x
  3. Step 3: Cross multiply
    13,493.40x = 20,207.70 × 6,559.80
  4. Step 4: Simplify right side
    13,493.40x = 132,558,470.46
  5. Step 5: Solve for x
    x = 132,558,470.46/13,493.40
  6. Step 6: Final answer
    x = 9,823.95

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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.