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Finding the Fourth Proportional to 14,016.96, 20,982.50 and 9,076.77

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Solution

The fourth proportional to 14,016.96, 20,982.50 and 9,076.77 is: 13,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016.96 : 20,982.50 = 9,076.77 : x
  2. Step 2: Convert to fraction form
    14,016.96/20,982.50 = 9,076.77/x
  3. Step 3: Cross multiply
    14,016.96x = 20,982.50 × 9,076.77
  4. Step 4: Simplify right side
    14,016.96x = 190,453,221.61
  5. Step 5: Solve for x
    x = 190,453,221.61/14,016.96
  6. Step 6: Final answer
    x = 13,587.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.