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Finding the Fourth Proportional to 21,883.60, 32,815.80 and 8,731.60

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Solution

The fourth proportional to 21,883.60, 32,815.80 and 8,731.60 is: 13,093.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,883.60 : 32,815.80 = 8,731.60 : x
  2. Step 2: Convert to fraction form
    21,883.60/32,815.80 = 8,731.60/x
  3. Step 3: Cross multiply
    21,883.60x = 32,815.80 × 8,731.60
  4. Step 4: Simplify right side
    21,883.60x = 286,534,439.28
  5. Step 5: Solve for x
    x = 286,534,439.28/21,883.60
  6. Step 6: Final answer
    x = 13,093.57

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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.