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Finding the Fourth Proportional to 22,954.59, 31,678.97 and 12,884.00

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Solution

The fourth proportional to 22,954.59, 31,678.97 and 12,884.00 is: 17,780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,954.59 : 31,678.97 = 12,884.00 : x
  2. Step 2: Convert to fraction form
    22,954.59/31,678.97 = 12,884.00/x
  3. Step 3: Cross multiply
    22,954.59x = 31,678.97 × 12,884.00
  4. Step 4: Simplify right side
    22,954.59x = 408,151,626.67
  5. Step 5: Solve for x
    x = 408,151,626.67/22,954.59
  6. Step 6: Final answer
    x = 17,780.83

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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.