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Finding the Fourth Proportional to 22,862.98, 31,551.81 and 13,431.46

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Solution

The fourth proportional to 22,862.98, 31,551.81 and 13,431.46 is: 18,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862.98 : 31,551.81 = 13,431.46 : x
  2. Step 2: Convert to fraction form
    22,862.98/31,551.81 = 13,431.46/x
  3. Step 3: Cross multiply
    22,862.98x = 31,551.81 × 13,431.46
  4. Step 4: Simplify right side
    22,862.98x = 423,786,873.94
  5. Step 5: Solve for x
    x = 423,786,873.94/22,862.98
  6. Step 6: Final answer
    x = 18,535.94

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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.