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Finding the Fourth Proportional to 18,288.16, 27,427.98 and 5,141.80

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Solution

The fourth proportional to 18,288.16, 27,427.98 and 5,141.80 is: 7,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,288.16 : 27,427.98 = 5,141.80 : x
  2. Step 2: Convert to fraction form
    18,288.16/27,427.98 = 5,141.80/x
  3. Step 3: Cross multiply
    18,288.16x = 27,427.98 × 5,141.80
  4. Step 4: Simplify right side
    18,288.16x = 141,029,187.56
  5. Step 5: Solve for x
    x = 141,029,187.56/18,288.16
  6. Step 6: Final answer
    x = 7,711.50

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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.