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Finding the Fourth Proportional to 17,784.88, 26,680.20 and 5,470

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Solution

The fourth proportional to 17,784.88, 26,680.20 and 5,470 is: 8,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.88 : 26,680.20 = 5,470 : x
  2. Step 2: Convert to fraction form
    17,784.88/26,680.20 = 5,470/x
  3. Step 3: Cross multiply
    17,784.88x = 26,680.20 × 5,470
  4. Step 4: Simplify right side
    17,784.88x = 145,940,694
  5. Step 5: Solve for x
    x = 145,940,694/17,784.88
  6. Step 6: Final answer
    x = 8,205.89

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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.