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Finding the Fourth Proportional to 18,529.72, 27,803.94 and 9,295

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Solution

The fourth proportional to 18,529.72, 27,803.94 and 9,295 is: 13,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,529.72 : 27,803.94 = 9,295 : x
  2. Step 2: Convert to fraction form
    18,529.72/27,803.94 = 9,295/x
  3. Step 3: Cross multiply
    18,529.72x = 27,803.94 × 9,295
  4. Step 4: Simplify right side
    18,529.72x = 258,437,622.30
  5. Step 5: Solve for x
    x = 258,437,622.30/18,529.72
  6. Step 6: Final answer
    x = 13,947.20

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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.