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Finding the Fourth Proportional to 18,263.12, 27,394.44 and 4,412

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Solution

The fourth proportional to 18,263.12, 27,394.44 and 4,412 is: 6,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,263.12 : 27,394.44 = 4,412 : x
  2. Step 2: Convert to fraction form
    18,263.12/27,394.44 = 4,412/x
  3. Step 3: Cross multiply
    18,263.12x = 27,394.44 × 4,412
  4. Step 4: Simplify right side
    18,263.12x = 120,864,269.28
  5. Step 5: Solve for x
    x = 120,864,269.28/18,263.12
  6. Step 6: Final answer
    x = 6,617.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.