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Finding the Fourth Proportional to 12,443.30, 17,171.75 and 6,854.30

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Solution

The fourth proportional to 12,443.30, 17,171.75 and 6,854.30 is: 9,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.30 : 17,171.75 = 6,854.30 : x
  2. Step 2: Convert to fraction form
    12,443.30/17,171.75 = 6,854.30/x
  3. Step 3: Cross multiply
    12,443.30x = 17,171.75 × 6,854.30
  4. Step 4: Simplify right side
    12,443.30x = 117,700,291.66
  5. Step 5: Solve for x
    x = 117,700,291.66/12,443.30
  6. Step 6: Final answer
    x = 9,458.93

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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.