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Finding the Fourth Proportional to 17,657.84, 26,479.84 and 6,410.52

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Solution

The fourth proportional to 17,657.84, 26,479.84 and 6,410.52 is: 9,613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.84 : 26,479.84 = 6,410.52 : x
  2. Step 2: Convert to fraction form
    17,657.84/26,479.84 = 6,410.52/x
  3. Step 3: Cross multiply
    17,657.84x = 26,479.84 × 6,410.52
  4. Step 4: Simplify right side
    17,657.84x = 169,749,543.92
  5. Step 5: Solve for x
    x = 169,749,543.92/17,657.84
  6. Step 6: Final answer
    x = 9,613.27

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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.