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Finding the Fourth Proportional to 18,652.24, 27,940.88 and 9,263.86

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Solution

The fourth proportional to 18,652.24, 27,940.88 and 9,263.86 is: 13,877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,652.24 : 27,940.88 = 9,263.86 : x
  2. Step 2: Convert to fraction form
    18,652.24/27,940.88 = 9,263.86/x
  3. Step 3: Cross multiply
    18,652.24x = 27,940.88 × 9,263.86
  4. Step 4: Simplify right side
    18,652.24x = 258,840,400.60
  5. Step 5: Solve for x
    x = 258,840,400.60/18,652.24
  6. Step 6: Final answer
    x = 13,877.18

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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.