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Finding the Fourth Proportional to 26,797.20, 40,199.76 and 9,262.32

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Solution

The fourth proportional to 26,797.20, 40,199.76 and 9,262.32 is: 13,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,797.20 : 40,199.76 = 9,262.32 : x
  2. Step 2: Convert to fraction form
    26,797.20/40,199.76 = 9,262.32/x
  3. Step 3: Cross multiply
    26,797.20x = 40,199.76 × 9,262.32
  4. Step 4: Simplify right side
    26,797.20x = 372,343,041.04
  5. Step 5: Solve for x
    x = 372,343,041.04/26,797.20
  6. Step 6: Final answer
    x = 13,894.85

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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.