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Finding the Fourth Proportional to 12,440.36, 17,167.74 and 6,851.40

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Solution

The fourth proportional to 12,440.36, 17,167.74 and 6,851.40 is: 9,454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,440.36 : 17,167.74 = 6,851.40 : x
  2. Step 2: Convert to fraction form
    12,440.36/17,167.74 = 6,851.40/x
  3. Step 3: Cross multiply
    12,440.36x = 17,167.74 × 6,851.40
  4. Step 4: Simplify right side
    12,440.36x = 117,623,053.84
  5. Step 5: Solve for x
    x = 117,623,053.84/12,440.36
  6. Step 6: Final answer
    x = 9,454.96

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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.