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Finding the Fourth Proportional to 13,535.52, 20,299.16 and 5,214.89

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Solution

The fourth proportional to 13,535.52, 20,299.16 and 5,214.89 is: 7,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.52 : 20,299.16 = 5,214.89 : x
  2. Step 2: Convert to fraction form
    13,535.52/20,299.16 = 5,214.89/x
  3. Step 3: Cross multiply
    13,535.52x = 20,299.16 × 5,214.89
  4. Step 4: Simplify right side
    13,535.52x = 105,857,758.92
  5. Step 5: Solve for x
    x = 105,857,758.92/13,535.52
  6. Step 6: Final answer
    x = 7,820.74

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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.