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Finding the Fourth Proportional to 12,585.23, 17,367.69 and 6,920.09

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Solution

The fourth proportional to 12,585.23, 17,367.69 and 6,920.09 is: 9,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.23 : 17,367.69 = 6,920.09 : x
  2. Step 2: Convert to fraction form
    12,585.23/17,367.69 = 6,920.09/x
  3. Step 3: Cross multiply
    12,585.23x = 17,367.69 × 6,920.09
  4. Step 4: Simplify right side
    12,585.23x = 120,185,977.89
  5. Step 5: Solve for x
    x = 120,185,977.89/12,585.23
  6. Step 6: Final answer
    x = 9,549.76

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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.