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Finding the Fourth Proportional to 26,538.12, 39,807.18 and 6,816.70

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Solution

The fourth proportional to 26,538.12, 39,807.18 and 6,816.70 is: 10,225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,538.12 : 39,807.18 = 6,816.70 : x
  2. Step 2: Convert to fraction form
    26,538.12/39,807.18 = 6,816.70/x
  3. Step 3: Cross multiply
    26,538.12x = 39,807.18 × 6,816.70
  4. Step 4: Simplify right side
    26,538.12x = 271,353,504.39
  5. Step 5: Solve for x
    x = 271,353,504.39/26,538.12
  6. Step 6: Final answer
    x = 10,225.05

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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.