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Finding the Fourth Proportional to 21,916.64, 32,883.60 and 9,596

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Solution

The fourth proportional to 21,916.64, 32,883.60 and 9,596 is: 14,397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,916.64 : 32,883.60 = 9,596 : x
  2. Step 2: Convert to fraction form
    21,916.64/32,883.60 = 9,596/x
  3. Step 3: Cross multiply
    21,916.64x = 32,883.60 × 9,596
  4. Step 4: Simplify right side
    21,916.64x = 315,551,025.60
  5. Step 5: Solve for x
    x = 315,551,025.60/21,916.64
  6. Step 6: Final answer
    x = 14,397.78

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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.