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Finding the Fourth Proportional to 20,390.95, 30,565.77 and 13,817.80

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Solution

The fourth proportional to 20,390.95, 30,565.77 and 13,817.80 is: 20,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,390.95 : 30,565.77 = 13,817.80 : x
  2. Step 2: Convert to fraction form
    20,390.95/30,565.77 = 13,817.80/x
  3. Step 3: Cross multiply
    20,390.95x = 30,565.77 × 13,817.80
  4. Step 4: Simplify right side
    20,390.95x = 422,351,696.71
  5. Step 5: Solve for x
    x = 422,351,696.71/20,390.95
  6. Step 6: Final answer
    x = 20,712.70

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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.