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Finding the Fourth Proportional to 13,637.28, 18,819.71 and 7,972.51

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Solution

The fourth proportional to 13,637.28, 18,819.71 and 7,972.51 is: 11,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637.28 : 18,819.71 = 7,972.51 : x
  2. Step 2: Convert to fraction form
    13,637.28/18,819.71 = 7,972.51/x
  3. Step 3: Cross multiply
    13,637.28x = 18,819.71 × 7,972.51
  4. Step 4: Simplify right side
    13,637.28x = 150,040,326.17
  5. Step 5: Solve for x
    x = 150,040,326.17/13,637.28
  6. Step 6: Final answer
    x = 11,002.22

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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.