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Finding the Fourth Proportional to 26,732.68, 40,099.10 and 9,202.28

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Solution

The fourth proportional to 26,732.68, 40,099.10 and 9,202.28 is: 13,803.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,732.68 : 40,099.10 = 9,202.28 : x
  2. Step 2: Convert to fraction form
    26,732.68/40,099.10 = 9,202.28/x
  3. Step 3: Cross multiply
    26,732.68x = 40,099.10 × 9,202.28
  4. Step 4: Simplify right side
    26,732.68x = 369,003,145.95
  5. Step 5: Solve for x
    x = 369,003,145.95/26,732.68
  6. Step 6: Final answer
    x = 13,803.45

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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.