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Finding the Fourth Proportional to 17,407.80, 26,115.64 and 5,721.12

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Solution

The fourth proportional to 17,407.80, 26,115.64 and 5,721.12 is: 8,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.80 : 26,115.64 = 5,721.12 : x
  2. Step 2: Convert to fraction form
    17,407.80/26,115.64 = 5,721.12/x
  3. Step 3: Cross multiply
    17,407.80x = 26,115.64 × 5,721.12
  4. Step 4: Simplify right side
    17,407.80x = 149,410,710.32
  5. Step 5: Solve for x
    x = 149,410,710.32/17,407.80
  6. Step 6: Final answer
    x = 8,582.97

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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.