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Finding the Fourth Proportional to 17,514.52, 26,262.50 and 7,642.27

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Solution

The fourth proportional to 17,514.52, 26,262.50 and 7,642.27 is: 11,459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,514.52 : 26,262.50 = 7,642.27 : x
  2. Step 2: Convert to fraction form
    17,514.52/26,262.50 = 7,642.27/x
  3. Step 3: Cross multiply
    17,514.52x = 26,262.50 × 7,642.27
  4. Step 4: Simplify right side
    17,514.52x = 200,704,946.35
  5. Step 5: Solve for x
    x = 200,704,946.35/17,514.52
  6. Step 6: Final answer
    x = 11,459.35

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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.