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Finding the Fourth Proportional to 20,270.68, 27,980.22 and 11,887

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Solution

The fourth proportional to 20,270.68, 27,980.22 and 11,887 is: 16,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,270.68 : 27,980.22 = 11,887 : x
  2. Step 2: Convert to fraction form
    20,270.68/27,980.22 = 11,887/x
  3. Step 3: Cross multiply
    20,270.68x = 27,980.22 × 11,887
  4. Step 4: Simplify right side
    20,270.68x = 332,600,875.14
  5. Step 5: Solve for x
    x = 332,600,875.14/20,270.68
  6. Step 6: Final answer
    x = 16,407.98

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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.