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Finding the Fourth Proportional to 13,588.28, 18,752.02 and 8,209.97

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Solution

The fourth proportional to 13,588.28, 18,752.02 and 8,209.97 is: 11,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.28 : 18,752.02 = 8,209.97 : x
  2. Step 2: Convert to fraction form
    13,588.28/18,752.02 = 8,209.97/x
  3. Step 3: Cross multiply
    13,588.28x = 18,752.02 × 8,209.97
  4. Step 4: Simplify right side
    13,588.28x = 153,953,521.64
  5. Step 5: Solve for x
    x = 153,953,521.64/13,588.28
  6. Step 6: Final answer
    x = 11,329.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.