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Finding the Fourth Proportional to 18,471.30, 27,710.55 and 7,941.30

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Solution

The fourth proportional to 18,471.30, 27,710.55 and 7,941.30 is: 11,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,471.30 : 27,710.55 = 7,941.30 : x
  2. Step 2: Convert to fraction form
    18,471.30/27,710.55 = 7,941.30/x
  3. Step 3: Cross multiply
    18,471.30x = 27,710.55 × 7,941.30
  4. Step 4: Simplify right side
    18,471.30x = 220,057,790.72
  5. Step 5: Solve for x
    x = 220,057,790.72/18,471.30
  6. Step 6: Final answer
    x = 11,913.50

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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.