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Finding the Fourth Proportional to 12,585.40, 17,367.94 and 6,996.44

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Solution

The fourth proportional to 12,585.40, 17,367.94 and 6,996.44 is: 9,655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.40 : 17,367.94 = 6,996.44 : x
  2. Step 2: Convert to fraction form
    12,585.40/17,367.94 = 6,996.44/x
  3. Step 3: Cross multiply
    12,585.40x = 17,367.94 × 6,996.44
  4. Step 4: Simplify right side
    12,585.40x = 121,513,750.13
  5. Step 5: Solve for x
    x = 121,513,750.13/12,585.40
  6. Step 6: Final answer
    x = 9,655.14

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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.