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Finding the Fourth Proportional to 20,381.69, 30,570.48 and 5,592.09

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Solution

The fourth proportional to 20,381.69, 30,570.48 and 5,592.09 is: 8,387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,381.69 : 30,570.48 = 5,592.09 : x
  2. Step 2: Convert to fraction form
    20,381.69/30,570.48 = 5,592.09/x
  3. Step 3: Cross multiply
    20,381.69x = 30,570.48 × 5,592.09
  4. Step 4: Simplify right side
    20,381.69x = 170,952,875.50
  5. Step 5: Solve for x
    x = 170,952,875.50/20,381.69
  6. Step 6: Final answer
    x = 8,387.57

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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.