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Finding the Fourth Proportional to 20,208.16, 27,885.84 and 11,254.96

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Solution

The fourth proportional to 20,208.16, 27,885.84 and 11,254.96 is: 15,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,208.16 : 27,885.84 = 11,254.96 : x
  2. Step 2: Convert to fraction form
    20,208.16/27,885.84 = 11,254.96/x
  3. Step 3: Cross multiply
    20,208.16x = 27,885.84 × 11,254.96
  4. Step 4: Simplify right side
    20,208.16x = 313,854,013.77
  5. Step 5: Solve for x
    x = 313,854,013.77/20,208.16
  6. Step 6: Final answer
    x = 15,531.05

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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.