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Finding the Fourth Proportional to 12,460.68, 17,197.38 and 8,681.40

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Solution

The fourth proportional to 12,460.68, 17,197.38 and 8,681.40 is: 11,981.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,460.68 : 17,197.38 = 8,681.40 : x
  2. Step 2: Convert to fraction form
    12,460.68/17,197.38 = 8,681.40/x
  3. Step 3: Cross multiply
    12,460.68x = 17,197.38 × 8,681.40
  4. Step 4: Simplify right side
    12,460.68x = 149,297,334.73
  5. Step 5: Solve for x
    x = 149,297,334.73/12,460.68
  6. Step 6: Final answer
    x = 11,981.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.