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Finding the Fourth Proportional to 12,509.88, 17,249.82 and 8,523

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Solution

The fourth proportional to 12,509.88, 17,249.82 and 8,523 is: 11,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.88 : 17,249.82 = 8,523 : x
  2. Step 2: Convert to fraction form
    12,509.88/17,249.82 = 8,523/x
  3. Step 3: Cross multiply
    12,509.88x = 17,249.82 × 8,523
  4. Step 4: Simplify right side
    12,509.88x = 147,020,215.86
  5. Step 5: Solve for x
    x = 147,020,215.86/12,509.88
  6. Step 6: Final answer
    x = 11,752.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.