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Finding the Fourth Proportional to 20,412.50, 28,169.03 and 11,459.79

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Solution

The fourth proportional to 20,412.50, 28,169.03 and 11,459.79 is: 15,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,412.50 : 28,169.03 = 11,459.79 : x
  2. Step 2: Convert to fraction form
    20,412.50/28,169.03 = 11,459.79/x
  3. Step 3: Cross multiply
    20,412.50x = 28,169.03 × 11,459.79
  4. Step 4: Simplify right side
    20,412.50x = 322,811,196.95
  5. Step 5: Solve for x
    x = 322,811,196.95/20,412.50
  6. Step 6: Final answer
    x = 15,814.39

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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.