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Finding the Fourth Proportional to 12,147.42, 16,763.21 and 6,769.74

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Solution

The fourth proportional to 12,147.42, 16,763.21 and 6,769.74 is: 9,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.42 : 16,763.21 = 6,769.74 : x
  2. Step 2: Convert to fraction form
    12,147.42/16,763.21 = 6,769.74/x
  3. Step 3: Cross multiply
    12,147.42x = 16,763.21 × 6,769.74
  4. Step 4: Simplify right side
    12,147.42x = 113,482,531.36
  5. Step 5: Solve for x
    x = 113,482,531.36/12,147.42
  6. Step 6: Final answer
    x = 9,342.11

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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.