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Finding the Fourth Proportional to 20,767.24, 28,659 and 11,335.96

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Solution

The fourth proportional to 20,767.24, 28,659 and 11,335.96 is: 15,643.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,767.24 : 28,659 = 11,335.96 : x
  2. Step 2: Convert to fraction form
    20,767.24/28,659 = 11,335.96/x
  3. Step 3: Cross multiply
    20,767.24x = 28,659 × 11,335.96
  4. Step 4: Simplify right side
    20,767.24x = 324,877,277.64
  5. Step 5: Solve for x
    x = 324,877,277.64/20,767.24
  6. Step 6: Final answer
    x = 15,643.74

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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.