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Finding the Fourth Proportional to 13,535.80, 20,298.31 and 5,211.20

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Solution

The fourth proportional to 13,535.80, 20,298.31 and 5,211.20 is: 7,814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.80 : 20,298.31 = 5,211.20 : x
  2. Step 2: Convert to fraction form
    13,535.80/20,298.31 = 5,211.20/x
  3. Step 3: Cross multiply
    13,535.80x = 20,298.31 × 5,211.20
  4. Step 4: Simplify right side
    13,535.80x = 105,778,553.07
  5. Step 5: Solve for x
    x = 105,778,553.07/13,535.80
  6. Step 6: Final answer
    x = 7,814.72

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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.