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Finding the Fourth Proportional to 20,148.64, 27,806.88 and 11,767.84

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Solution

The fourth proportional to 20,148.64, 27,806.88 and 11,767.84 is: 16,240.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148.64 : 27,806.88 = 11,767.84 : x
  2. Step 2: Convert to fraction form
    20,148.64/27,806.88 = 11,767.84/x
  3. Step 3: Cross multiply
    20,148.64x = 27,806.88 × 11,767.84
  4. Step 4: Simplify right side
    20,148.64x = 327,226,914.74
  5. Step 5: Solve for x
    x = 327,226,914.74/20,148.64
  6. Step 6: Final answer
    x = 16,240.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.