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Finding the Fourth Proportional to 17,434.42, 26,164.59 and 9,658.42

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Solution

The fourth proportional to 17,434.42, 26,164.59 and 9,658.42 is: 14,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,434.42 : 26,164.59 = 9,658.42 : x
  2. Step 2: Convert to fraction form
    17,434.42/26,164.59 = 9,658.42/x
  3. Step 3: Cross multiply
    17,434.42x = 26,164.59 × 9,658.42
  4. Step 4: Simplify right side
    17,434.42x = 252,708,599.35
  5. Step 5: Solve for x
    x = 252,708,599.35/17,434.42
  6. Step 6: Final answer
    x = 14,494.81

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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.