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Finding the Fourth Proportional to 22,963.01, 31,690.78 and 12,892.11

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Solution

The fourth proportional to 22,963.01, 31,690.78 and 12,892.11 is: 17,792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.01 : 31,690.78 = 12,892.11 : x
  2. Step 2: Convert to fraction form
    22,963.01/31,690.78 = 12,892.11/x
  3. Step 3: Cross multiply
    22,963.01x = 31,690.78 × 12,892.11
  4. Step 4: Simplify right side
    22,963.01x = 408,560,870.68
  5. Step 5: Solve for x
    x = 408,560,870.68/22,963.01
  6. Step 6: Final answer
    x = 17,792.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.