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Finding the Fourth Proportional to 21,104.54, 31,657.10 and 5,522.16

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Solution

The fourth proportional to 21,104.54, 31,657.10 and 5,522.16 is: 8,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,104.54 : 31,657.10 = 5,522.16 : x
  2. Step 2: Convert to fraction form
    21,104.54/31,657.10 = 5,522.16/x
  3. Step 3: Cross multiply
    21,104.54x = 31,657.10 × 5,522.16
  4. Step 4: Simplify right side
    21,104.54x = 174,815,543.73
  5. Step 5: Solve for x
    x = 174,815,543.73/21,104.54
  6. Step 6: Final answer
    x = 8,283.32

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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.