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Finding the Fourth Proportional to 16,811.11, 23,199.14 and 9,257.28

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Solution

The fourth proportional to 16,811.11, 23,199.14 and 9,257.28 is: 12,774.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,811.11 : 23,199.14 = 9,257.28 : x
  2. Step 2: Convert to fraction form
    16,811.11/23,199.14 = 9,257.28/x
  3. Step 3: Cross multiply
    16,811.11x = 23,199.14 × 9,257.28
  4. Step 4: Simplify right side
    16,811.11x = 214,760,934.74
  5. Step 5: Solve for x
    x = 214,760,934.74/16,811.11
  6. Step 6: Final answer
    x = 12,774.94

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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.