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Finding the Fourth Proportional to 22,812.83, 31,470.78 and 14,310.70

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Solution

The fourth proportional to 22,812.83, 31,470.78 and 14,310.70 is: 19,741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.83 : 31,470.78 = 14,310.70 : x
  2. Step 2: Convert to fraction form
    22,812.83/31,470.78 = 14,310.70/x
  3. Step 3: Cross multiply
    22,812.83x = 31,470.78 × 14,310.70
  4. Step 4: Simplify right side
    22,812.83x = 450,368,891.35
  5. Step 5: Solve for x
    x = 450,368,891.35/22,812.83
  6. Step 6: Final answer
    x = 19,741.91

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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.