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Finding the Fourth Proportional to 18,543.53, 27,815.42 and 4,692.53

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Solution

The fourth proportional to 18,543.53, 27,815.42 and 4,692.53 is: 7,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,543.53 : 27,815.42 = 4,692.53 : x
  2. Step 2: Convert to fraction form
    18,543.53/27,815.42 = 4,692.53/x
  3. Step 3: Cross multiply
    18,543.53x = 27,815.42 × 4,692.53
  4. Step 4: Simplify right side
    18,543.53x = 130,524,669.35
  5. Step 5: Solve for x
    x = 130,524,669.35/18,543.53
  6. Step 6: Final answer
    x = 7,038.83

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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.