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Finding the Fourth Proportional to 17,811.42, 26,716.32 and 8,455.92

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Solution

The fourth proportional to 17,811.42, 26,716.32 and 8,455.92 is: 12,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,811.42 : 26,716.32 = 8,455.92 : x
  2. Step 2: Convert to fraction form
    17,811.42/26,716.32 = 8,455.92/x
  3. Step 3: Cross multiply
    17,811.42x = 26,716.32 × 8,455.92
  4. Step 4: Simplify right side
    17,811.42x = 225,911,064.61
  5. Step 5: Solve for x
    x = 225,911,064.61/17,811.42
  6. Step 6: Final answer
    x = 12,683.50

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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.