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Finding the Fourth Proportional to 13,593.64, 18,757.70 and 7,624.08

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Solution

The fourth proportional to 13,593.64, 18,757.70 and 7,624.08 is: 10,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,593.64 : 18,757.70 = 7,624.08 : x
  2. Step 2: Convert to fraction form
    13,593.64/18,757.70 = 7,624.08/x
  3. Step 3: Cross multiply
    13,593.64x = 18,757.70 × 7,624.08
  4. Step 4: Simplify right side
    13,593.64x = 143,010,205.42
  5. Step 5: Solve for x
    x = 143,010,205.42/13,593.64
  6. Step 6: Final answer
    x = 10,520.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.