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Finding the Fourth Proportional to 11,171.34, 16,823.30 and 9,727.92

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Solution

The fourth proportional to 11,171.34, 16,823.30 and 9,727.92 is: 14,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.34 : 16,823.30 = 9,727.92 : x
  2. Step 2: Convert to fraction form
    11,171.34/16,823.30 = 9,727.92/x
  3. Step 3: Cross multiply
    11,171.34x = 16,823.30 × 9,727.92
  4. Step 4: Simplify right side
    11,171.34x = 163,655,667.90
  5. Step 5: Solve for x
    x = 163,655,667.90/11,171.34
  6. Step 6: Final answer
    x = 14,649.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.