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Finding the Fourth Proportional to 18,534.15, 27,803.12 and 6,844.64

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Solution

The fourth proportional to 18,534.15, 27,803.12 and 6,844.64 is: 10,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,534.15 : 27,803.12 = 6,844.64 : x
  2. Step 2: Convert to fraction form
    18,534.15/27,803.12 = 6,844.64/x
  3. Step 3: Cross multiply
    18,534.15x = 27,803.12 × 6,844.64
  4. Step 4: Simplify right side
    18,534.15x = 190,302,174.04
  5. Step 5: Solve for x
    x = 190,302,174.04/18,534.15
  6. Step 6: Final answer
    x = 10,267.65

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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.