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Finding the Fourth Proportional to 21,320.95, 31,963.19 and 8,182.75

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Solution

The fourth proportional to 21,320.95, 31,963.19 and 8,182.75 is: 12,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,320.95 : 31,963.19 = 8,182.75 : x
  2. Step 2: Convert to fraction form
    21,320.95/31,963.19 = 8,182.75/x
  3. Step 3: Cross multiply
    21,320.95x = 31,963.19 × 8,182.75
  4. Step 4: Simplify right side
    21,320.95x = 261,546,792.97
  5. Step 5: Solve for x
    x = 261,546,792.97/21,320.95
  6. Step 6: Final answer
    x = 12,267.13

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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.