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Finding the Fourth Proportional to 12,766.65, 17,617.66 and 7,101.41

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Solution

The fourth proportional to 12,766.65, 17,617.66 and 7,101.41 is: 9,799.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.65 : 17,617.66 = 7,101.41 : x
  2. Step 2: Convert to fraction form
    12,766.65/17,617.66 = 7,101.41/x
  3. Step 3: Cross multiply
    12,766.65x = 17,617.66 × 7,101.41
  4. Step 4: Simplify right side
    12,766.65x = 125,110,226.90
  5. Step 5: Solve for x
    x = 125,110,226.90/12,766.65
  6. Step 6: Final answer
    x = 9,799.77

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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.