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Finding the Fourth Proportional to 23,454.77, 32,367.34 and 12,843.77

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Solution

The fourth proportional to 23,454.77, 32,367.34 and 12,843.77 is: 17,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454.77 : 32,367.34 = 12,843.77 : x
  2. Step 2: Convert to fraction form
    23,454.77/32,367.34 = 12,843.77/x
  3. Step 3: Cross multiply
    23,454.77x = 32,367.34 × 12,843.77
  4. Step 4: Simplify right side
    23,454.77x = 415,718,670.47
  5. Step 5: Solve for x
    x = 415,718,670.47/23,454.77
  6. Step 6: Final answer
    x = 17,724.27

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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.