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Finding the Fourth Proportional to 20,276.48, 27,978.78 and 11,322.84

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Solution

The fourth proportional to 20,276.48, 27,978.78 and 11,322.84 is: 15,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,276.48 : 27,978.78 = 11,322.84 : x
  2. Step 2: Convert to fraction form
    20,276.48/27,978.78 = 11,322.84/x
  3. Step 3: Cross multiply
    20,276.48x = 27,978.78 × 11,322.84
  4. Step 4: Simplify right side
    20,276.48x = 316,799,249.34
  5. Step 5: Solve for x
    x = 316,799,249.34/20,276.48
  6. Step 6: Final answer
    x = 15,623.98

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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.