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Finding the Fourth Proportional to 12,147.26, 16,767.41 and 7,113.09

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Solution

The fourth proportional to 12,147.26, 16,767.41 and 7,113.09 is: 9,818.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.26 : 16,767.41 = 7,113.09 : x
  2. Step 2: Convert to fraction form
    12,147.26/16,767.41 = 7,113.09/x
  3. Step 3: Cross multiply
    12,147.26x = 16,767.41 × 7,113.09
  4. Step 4: Simplify right side
    12,147.26x = 119,268,123.71
  5. Step 5: Solve for x
    x = 119,268,123.71/12,147.26
  6. Step 6: Final answer
    x = 9,818.52

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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.