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Finding the Fourth Proportional to 17,657.54, 26,486.40 and 4,509.92

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Solution

The fourth proportional to 17,657.54, 26,486.40 and 4,509.92 is: 6,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.54 : 26,486.40 = 4,509.92 : x
  2. Step 2: Convert to fraction form
    17,657.54/26,486.40 = 4,509.92/x
  3. Step 3: Cross multiply
    17,657.54x = 26,486.40 × 4,509.92
  4. Step 4: Simplify right side
    17,657.54x = 119,451,545.09
  5. Step 5: Solve for x
    x = 119,451,545.09/17,657.54
  6. Step 6: Final answer
    x = 6,764.90

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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.