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Finding the Fourth Proportional to 13,637.28, 18,819.92 and 7,670

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Solution

The fourth proportional to 13,637.28, 18,819.92 and 7,670 is: 10,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637.28 : 18,819.92 = 7,670 : x
  2. Step 2: Convert to fraction form
    13,637.28/18,819.92 = 7,670/x
  3. Step 3: Cross multiply
    13,637.28x = 18,819.92 × 7,670
  4. Step 4: Simplify right side
    13,637.28x = 144,348,786.40
  5. Step 5: Solve for x
    x = 144,348,786.40/13,637.28
  6. Step 6: Final answer
    x = 10,584.87

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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.