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Finding the Fourth Proportional to 18,237.50, 27,345.31 and 7,130.96

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Solution

The fourth proportional to 18,237.50, 27,345.31 and 7,130.96 is: 10,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,237.50 : 27,345.31 = 7,130.96 : x
  2. Step 2: Convert to fraction form
    18,237.50/27,345.31 = 7,130.96/x
  3. Step 3: Cross multiply
    18,237.50x = 27,345.31 × 7,130.96
  4. Step 4: Simplify right side
    18,237.50x = 194,998,311.80
  5. Step 5: Solve for x
    x = 194,998,311.80/18,237.50
  6. Step 6: Final answer
    x = 10,692.16

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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.