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Finding the Fourth Proportional to 23,454.54, 32,367.30 and 12,844.14

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Solution

The fourth proportional to 23,454.54, 32,367.30 and 12,844.14 is: 17,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454.54 : 32,367.30 = 12,844.14 : x
  2. Step 2: Convert to fraction form
    23,454.54/32,367.30 = 12,844.14/x
  3. Step 3: Cross multiply
    23,454.54x = 32,367.30 × 12,844.14
  4. Step 4: Simplify right side
    23,454.54x = 415,730,132.62
  5. Step 5: Solve for x
    x = 415,730,132.62/23,454.54
  6. Step 6: Final answer
    x = 17,724.93

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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.