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Finding the Fourth Proportional to 22,817.84, 31,490.79 and 13,863.29

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Solution

The fourth proportional to 22,817.84, 31,490.79 and 13,863.29 is: 19,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,817.84 : 31,490.79 = 13,863.29 : x
  2. Step 2: Convert to fraction form
    22,817.84/31,490.79 = 13,863.29/x
  3. Step 3: Cross multiply
    22,817.84x = 31,490.79 × 13,863.29
  4. Step 4: Simplify right side
    22,817.84x = 436,565,954.10
  5. Step 5: Solve for x
    x = 436,565,954.10/22,817.84
  6. Step 6: Final answer
    x = 19,132.66

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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.