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Finding the Fourth Proportional to 22,914.14, 31,578.71 and 17,870.40

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Solution

The fourth proportional to 22,914.14, 31,578.71 and 17,870.40 is: 24,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,914.14 : 31,578.71 = 17,870.40 : x
  2. Step 2: Convert to fraction form
    22,914.14/31,578.71 = 17,870.40/x
  3. Step 3: Cross multiply
    22,914.14x = 31,578.71 × 17,870.40
  4. Step 4: Simplify right side
    22,914.14x = 564,324,089.83
  5. Step 5: Solve for x
    x = 564,324,089.83/22,914.14
  6. Step 6: Final answer
    x = 24,627.77

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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.