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Finding the Fourth Proportional to 20,389.95, 30,564.27 and 13,816.80

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Solution

The fourth proportional to 20,389.95, 30,564.27 and 13,816.80 is: 20,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,389.95 : 30,564.27 = 13,816.80 : x
  2. Step 2: Convert to fraction form
    20,389.95/30,564.27 = 13,816.80/x
  3. Step 3: Cross multiply
    20,389.95x = 30,564.27 × 13,816.80
  4. Step 4: Simplify right side
    20,389.95x = 422,300,405.74
  5. Step 5: Solve for x
    x = 422,300,405.74/20,389.95
  6. Step 6: Final answer
    x = 20,711.20

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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.