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Finding the Fourth Proportional to 13,535.69, 20,306.99 and 5,213.47

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Solution

The fourth proportional to 13,535.69, 20,306.99 and 5,213.47 is: 7,821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.69 : 20,306.99 = 5,213.47 : x
  2. Step 2: Convert to fraction form
    13,535.69/20,306.99 = 5,213.47/x
  3. Step 3: Cross multiply
    13,535.69x = 20,306.99 × 5,213.47
  4. Step 4: Simplify right side
    13,535.69x = 105,869,809.70
  5. Step 5: Solve for x
    x = 105,869,809.70/13,535.69
  6. Step 6: Final answer
    x = 7,821.53

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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.