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Finding the Fourth Proportional to 21,294.48, 31,941.84 and 5,498.43

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Solution

The fourth proportional to 21,294.48, 31,941.84 and 5,498.43 is: 8,247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,294.48 : 31,941.84 = 5,498.43 : x
  2. Step 2: Convert to fraction form
    21,294.48/31,941.84 = 5,498.43/x
  3. Step 3: Cross multiply
    21,294.48x = 31,941.84 × 5,498.43
  4. Step 4: Simplify right side
    21,294.48x = 175,629,971.31
  5. Step 5: Solve for x
    x = 175,629,971.31/21,294.48
  6. Step 6: Final answer
    x = 8,247.68

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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.