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Finding the Fourth Proportional to 18,412.32, 27,604.56 and 6,563.64

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Solution

The fourth proportional to 18,412.32, 27,604.56 and 6,563.64 is: 9,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,412.32 : 27,604.56 = 6,563.64 : x
  2. Step 2: Convert to fraction form
    18,412.32/27,604.56 = 6,563.64/x
  3. Step 3: Cross multiply
    18,412.32x = 27,604.56 × 6,563.64
  4. Step 4: Simplify right side
    18,412.32x = 181,186,394.20
  5. Step 5: Solve for x
    x = 181,186,394.20/18,412.32
  6. Step 6: Final answer
    x = 9,840.50

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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.