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Finding the Fourth Proportional to 21,877.60, 32,816.40 and 8,024.80

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Solution

The fourth proportional to 21,877.60, 32,816.40 and 8,024.80 is: 12,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,877.60 : 32,816.40 = 8,024.80 : x
  2. Step 2: Convert to fraction form
    21,877.60/32,816.40 = 8,024.80/x
  3. Step 3: Cross multiply
    21,877.60x = 32,816.40 × 8,024.80
  4. Step 4: Simplify right side
    21,877.60x = 263,345,046.72
  5. Step 5: Solve for x
    x = 263,345,046.72/21,877.60
  6. Step 6: Final answer
    x = 12,037.20

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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.