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Finding the Fourth Proportional to 13,698.59, 20,532.33 and 5,796.17

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Solution

The fourth proportional to 13,698.59, 20,532.33 and 5,796.17 is: 8,687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.59 : 20,532.33 = 5,796.17 : x
  2. Step 2: Convert to fraction form
    13,698.59/20,532.33 = 5,796.17/x
  3. Step 3: Cross multiply
    13,698.59x = 20,532.33 × 5,796.17
  4. Step 4: Simplify right side
    13,698.59x = 119,008,965.01
  5. Step 5: Solve for x
    x = 119,008,965.01/13,698.59
  6. Step 6: Final answer
    x = 8,687.68

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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.