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Finding the Fourth Proportional to 12,758.50, 17,608.35 and 7,169.50

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Solution

The fourth proportional to 12,758.50, 17,608.35 and 7,169.50 is: 9,894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.50 : 17,608.35 = 7,169.50 : x
  2. Step 2: Convert to fraction form
    12,758.50/17,608.35 = 7,169.50/x
  3. Step 3: Cross multiply
    12,758.50x = 17,608.35 × 7,169.50
  4. Step 4: Simplify right side
    12,758.50x = 126,243,065.33
  5. Step 5: Solve for x
    x = 126,243,065.33/12,758.50
  6. Step 6: Final answer
    x = 9,894.82

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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.