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Finding the Fourth Proportional to 13,668.25, 20,502.01 and 3,807.13

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Solution

The fourth proportional to 13,668.25, 20,502.01 and 3,807.13 is: 5,710.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,668.25 : 20,502.01 = 3,807.13 : x
  2. Step 2: Convert to fraction form
    13,668.25/20,502.01 = 3,807.13/x
  3. Step 3: Cross multiply
    13,668.25x = 20,502.01 × 3,807.13
  4. Step 4: Simplify right side
    13,668.25x = 78,053,817.33
  5. Step 5: Solve for x
    x = 78,053,817.33/13,668.25
  6. Step 6: Final answer
    x = 5,710.59

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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.