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Finding the Fourth Proportional to 21,032.58, 31,517.70 and 8,537.40

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Solution

The fourth proportional to 21,032.58, 31,517.70 and 8,537.40 is: 12,793.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,032.58 : 31,517.70 = 8,537.40 : x
  2. Step 2: Convert to fraction form
    21,032.58/31,517.70 = 8,537.40/x
  3. Step 3: Cross multiply
    21,032.58x = 31,517.70 × 8,537.40
  4. Step 4: Simplify right side
    21,032.58x = 269,079,011.70
  5. Step 5: Solve for x
    x = 269,079,011.70/21,032.58
  6. Step 6: Final answer
    x = 12,793.44

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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.