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Finding the Fourth Proportional to 21,843.60, 32,743.80 and 8,678.40

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Solution

The fourth proportional to 21,843.60, 32,743.80 and 8,678.40 is: 13,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843.60 : 32,743.80 = 8,678.40 : x
  2. Step 2: Convert to fraction form
    21,843.60/32,743.80 = 8,678.40/x
  3. Step 3: Cross multiply
    21,843.60x = 32,743.80 × 8,678.40
  4. Step 4: Simplify right side
    21,843.60x = 284,163,793.92
  5. Step 5: Solve for x
    x = 284,163,793.92/21,843.60
  6. Step 6: Final answer
    x = 13,009.02

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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.