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Finding the Fourth Proportional to 17,283.38, 25,925.67 and 9,884.43

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Solution

The fourth proportional to 17,283.38, 25,925.67 and 9,884.43 is: 14,826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,283.38 : 25,925.67 = 9,884.43 : x
  2. Step 2: Convert to fraction form
    17,283.38/25,925.67 = 9,884.43/x
  3. Step 3: Cross multiply
    17,283.38x = 25,925.67 × 9,884.43
  4. Step 4: Simplify right side
    17,283.38x = 256,260,470.32
  5. Step 5: Solve for x
    x = 256,260,470.32/17,283.38
  6. Step 6: Final answer
    x = 14,826.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.