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Finding the Fourth Proportional to 23,453.76, 32,366.20 and 12,844.06

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Solution

The fourth proportional to 23,453.76, 32,366.20 and 12,844.06 is: 17,724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,453.76 : 32,366.20 = 12,844.06 : x
  2. Step 2: Convert to fraction form
    23,453.76/32,366.20 = 12,844.06/x
  3. Step 3: Cross multiply
    23,453.76x = 32,366.20 × 12,844.06
  4. Step 4: Simplify right side
    23,453.76x = 415,713,414.77
  5. Step 5: Solve for x
    x = 415,713,414.77/23,453.76
  6. Step 6: Final answer
    x = 17,724.81

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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.