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Finding the Fourth Proportional to 14,677.86, 22,016.72 and 5,197.20

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Solution

The fourth proportional to 14,677.86, 22,016.72 and 5,197.20 is: 7,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.86 : 22,016.72 = 5,197.20 : x
  2. Step 2: Convert to fraction form
    14,677.86/22,016.72 = 5,197.20/x
  3. Step 3: Cross multiply
    14,677.86x = 22,016.72 × 5,197.20
  4. Step 4: Simplify right side
    14,677.86x = 114,425,297.18
  5. Step 5: Solve for x
    x = 114,425,297.18/14,677.86
  6. Step 6: Final answer
    x = 7,795.78

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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.