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Finding the Fourth Proportional to 20,281, 27,991.02 and 11,897.56

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Solution

The fourth proportional to 20,281, 27,991.02 and 11,897.56 is: 16,420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281 : 27,991.02 = 11,897.56 : x
  2. Step 2: Convert to fraction form
    20,281/27,991.02 = 11,897.56/x
  3. Step 3: Cross multiply
    20,281x = 27,991.02 × 11,897.56
  4. Step 4: Simplify right side
    20,281x = 333,024,839.91
  5. Step 5: Solve for x
    x = 333,024,839.91/20,281
  6. Step 6: Final answer
    x = 16,420.53

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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.