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Finding the Fourth Proportional to 26,706.40, 40,066.16 and 9,176.48

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Solution

The fourth proportional to 26,706.40, 40,066.16 and 9,176.48 is: 13,766.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,706.40 : 40,066.16 = 9,176.48 : x
  2. Step 2: Convert to fraction form
    26,706.40/40,066.16 = 9,176.48/x
  3. Step 3: Cross multiply
    26,706.40x = 40,066.16 × 9,176.48
  4. Step 4: Simplify right side
    26,706.40x = 367,666,315.92
  5. Step 5: Solve for x
    x = 367,666,315.92/26,706.40
  6. Step 6: Final answer
    x = 13,766.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.