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Finding the Fourth Proportional to 17,219.68, 25,826.52 and 7,857.52

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Solution

The fourth proportional to 17,219.68, 25,826.52 and 7,857.52 is: 11,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,219.68 : 25,826.52 = 7,857.52 : x
  2. Step 2: Convert to fraction form
    17,219.68/25,826.52 = 7,857.52/x
  3. Step 3: Cross multiply
    17,219.68x = 25,826.52 × 7,857.52
  4. Step 4: Simplify right side
    17,219.68x = 202,932,397.43
  5. Step 5: Solve for x
    x = 202,932,397.43/17,219.68
  6. Step 6: Final answer
    x = 11,784.91

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Why These Related Problems?

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