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Finding the Fourth Proportional to 12,934.02, 17,851.78 and 8,217.40

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Solution

The fourth proportional to 12,934.02, 17,851.78 and 8,217.40 is: 11,341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.02 : 17,851.78 = 8,217.40 : x
  2. Step 2: Convert to fraction form
    12,934.02/17,851.78 = 8,217.40/x
  3. Step 3: Cross multiply
    12,934.02x = 17,851.78 × 8,217.40
  4. Step 4: Simplify right side
    12,934.02x = 146,695,216.97
  5. Step 5: Solve for x
    x = 146,695,216.97/12,934.02
  6. Step 6: Final answer
    x = 11,341.81

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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.