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Finding the Fourth Proportional to 11,867.76, 16,371.54 and 11,023.47

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Solution

The fourth proportional to 11,867.76, 16,371.54 and 11,023.47 is: 15,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.76 : 16,371.54 = 11,023.47 : x
  2. Step 2: Convert to fraction form
    11,867.76/16,371.54 = 11,023.47/x
  3. Step 3: Cross multiply
    11,867.76x = 16,371.54 × 11,023.47
  4. Step 4: Simplify right side
    11,867.76x = 180,471,180.04
  5. Step 5: Solve for x
    x = 180,471,180.04/11,867.76
  6. Step 6: Final answer
    x = 15,206.84

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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.