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Finding the Fourth Proportional to 12,778.74, 17,636.52 and 7,674.59

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Solution

The fourth proportional to 12,778.74, 17,636.52 and 7,674.59 is: 10,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.74 : 17,636.52 = 7,674.59 : x
  2. Step 2: Convert to fraction form
    12,778.74/17,636.52 = 7,674.59/x
  3. Step 3: Cross multiply
    12,778.74x = 17,636.52 × 7,674.59
  4. Step 4: Simplify right side
    12,778.74x = 135,353,060.03
  5. Step 5: Solve for x
    x = 135,353,060.03/12,778.74
  6. Step 6: Final answer
    x = 10,592.05

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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.