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Finding the Fourth Proportional to 20,148.88, 27,808.74 and 11,199.28

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Solution

The fourth proportional to 20,148.88, 27,808.74 and 11,199.28 is: 15,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148.88 : 27,808.74 = 11,199.28 : x
  2. Step 2: Convert to fraction form
    20,148.88/27,808.74 = 11,199.28/x
  3. Step 3: Cross multiply
    20,148.88x = 27,808.74 × 11,199.28
  4. Step 4: Simplify right side
    20,148.88x = 311,437,865.71
  5. Step 5: Solve for x
    x = 311,437,865.71/20,148.88
  6. Step 6: Final answer
    x = 15,456.83

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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.