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Finding the Fourth Proportional to 13,535.19, 20,298.87 and 5,209.11

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Solution

The fourth proportional to 13,535.19, 20,298.87 and 5,209.11 is: 7,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.19 : 20,298.87 = 5,209.11 : x
  2. Step 2: Convert to fraction form
    13,535.19/20,298.87 = 5,209.11/x
  3. Step 3: Cross multiply
    13,535.19x = 20,298.87 × 5,209.11
  4. Step 4: Simplify right side
    13,535.19x = 105,739,046.71
  5. Step 5: Solve for x
    x = 105,739,046.71/13,535.19
  6. Step 6: Final answer
    x = 7,812.16

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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.