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Finding the Fourth Proportional to 26,706.96, 40,049.28 and 9,178.20

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Solution

The fourth proportional to 26,706.96, 40,049.28 and 9,178.20 is: 13,763.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,706.96 : 40,049.28 = 9,178.20 : x
  2. Step 2: Convert to fraction form
    26,706.96/40,049.28 = 9,178.20/x
  3. Step 3: Cross multiply
    26,706.96x = 40,049.28 × 9,178.20
  4. Step 4: Simplify right side
    26,706.96x = 367,580,301.70
  5. Step 5: Solve for x
    x = 367,580,301.70/26,706.96
  6. Step 6: Final answer
    x = 13,763.46

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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.