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Finding the Fourth Proportional to 12,178.32, 18,238.74 and 9,527.27

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Solution

The fourth proportional to 12,178.32, 18,238.74 and 9,527.27 is: 14,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.32 : 18,238.74 = 9,527.27 : x
  2. Step 2: Convert to fraction form
    12,178.32/18,238.74 = 9,527.27/x
  3. Step 3: Cross multiply
    12,178.32x = 18,238.74 × 9,527.27
  4. Step 4: Simplify right side
    12,178.32x = 173,765,456.50
  5. Step 5: Solve for x
    x = 173,765,456.50/12,178.32
  6. Step 6: Final answer
    x = 14,268.42

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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.