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Finding the Fourth Proportional to 22,994.57, 31,726.97 and 13,429.03

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Solution

The fourth proportional to 22,994.57, 31,726.97 and 13,429.03 is: 18,528.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,994.57 : 31,726.97 = 13,429.03 : x
  2. Step 2: Convert to fraction form
    22,994.57/31,726.97 = 13,429.03/x
  3. Step 3: Cross multiply
    22,994.57x = 31,726.97 × 13,429.03
  4. Step 4: Simplify right side
    22,994.57x = 426,062,431.94
  5. Step 5: Solve for x
    x = 426,062,431.94/22,994.57
  6. Step 6: Final answer
    x = 18,528.83

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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.