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Finding the Fourth Proportional to 20,481, 28,266.49 and 11,530.26

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Solution

The fourth proportional to 20,481, 28,266.49 and 11,530.26 is: 15,913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,481 : 28,266.49 = 11,530.26 : x
  2. Step 2: Convert to fraction form
    20,481/28,266.49 = 11,530.26/x
  3. Step 3: Cross multiply
    20,481x = 28,266.49 × 11,530.26
  4. Step 4: Simplify right side
    20,481x = 325,919,978.99
  5. Step 5: Solve for x
    x = 325,919,978.99/20,481
  6. Step 6: Final answer
    x = 15,913.28

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1.5x scale

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.