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Finding the Fourth Proportional to 17,834.66, 26,742.27 and 7,438.58

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Solution

The fourth proportional to 17,834.66, 26,742.27 and 7,438.58 is: 11,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,834.66 : 26,742.27 = 7,438.58 : x
  2. Step 2: Convert to fraction form
    17,834.66/26,742.27 = 7,438.58/x
  3. Step 3: Cross multiply
    17,834.66x = 26,742.27 × 7,438.58
  4. Step 4: Simplify right side
    17,834.66x = 198,924,514.78
  5. Step 5: Solve for x
    x = 198,924,514.78/17,834.66
  6. Step 6: Final answer
    x = 11,153.82

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