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Finding the Fourth Proportional to 12,641.28, 18,983.76 and 11,652.24

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Solution

The fourth proportional to 12,641.28, 18,983.76 and 11,652.24 is: 17,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.28 : 18,983.76 = 11,652.24 : x
  2. Step 2: Convert to fraction form
    12,641.28/18,983.76 = 11,652.24/x
  3. Step 3: Cross multiply
    12,641.28x = 18,983.76 × 11,652.24
  4. Step 4: Simplify right side
    12,641.28x = 221,203,327.62
  5. Step 5: Solve for x
    x = 221,203,327.62/12,641.28
  6. Step 6: Final answer
    x = 17,498.49

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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.