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Finding the Fourth Proportional to 13,534.80, 20,296.81 and 5,210.20

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Solution

The fourth proportional to 13,534.80, 20,296.81 and 5,210.20 is: 7,813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.80 : 20,296.81 = 5,210.20 : x
  2. Step 2: Convert to fraction form
    13,534.80/20,296.81 = 5,210.20/x
  3. Step 3: Cross multiply
    13,534.80x = 20,296.81 × 5,210.20
  4. Step 4: Simplify right side
    13,534.80x = 105,750,439.46
  5. Step 5: Solve for x
    x = 105,750,439.46/13,534.80
  6. Step 6: Final answer
    x = 7,813.23

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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.