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Finding the Fourth Proportional to 22,975.57, 31,705.90 and 12,766.39

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Solution

The fourth proportional to 22,975.57, 31,705.90 and 12,766.39 is: 17,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,975.57 : 31,705.90 = 12,766.39 : x
  2. Step 2: Convert to fraction form
    22,975.57/31,705.90 = 12,766.39/x
  3. Step 3: Cross multiply
    22,975.57x = 31,705.90 × 12,766.39
  4. Step 4: Simplify right side
    22,975.57x = 404,769,884.70
  5. Step 5: Solve for x
    x = 404,769,884.70/22,975.57
  6. Step 6: Final answer
    x = 17,617.40

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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.