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Finding the Fourth Proportional to 12,147.97, 16,758.47 and 7,109.07

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Solution

The fourth proportional to 12,147.97, 16,758.47 and 7,109.07 is: 9,807.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.97 : 16,758.47 = 7,109.07 : x
  2. Step 2: Convert to fraction form
    12,147.97/16,758.47 = 7,109.07/x
  3. Step 3: Cross multiply
    12,147.97x = 16,758.47 × 7,109.07
  4. Step 4: Simplify right side
    12,147.97x = 119,137,100.78
  5. Step 5: Solve for x
    x = 119,137,100.78/12,147.97
  6. Step 6: Final answer
    x = 9,807.16

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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.