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Finding the Fourth Proportional to 14,816.86, 20,447.85 and 8,847.16

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Solution

The fourth proportional to 14,816.86, 20,447.85 and 8,847.16 is: 12,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,816.86 : 20,447.85 = 8,847.16 : x
  2. Step 2: Convert to fraction form
    14,816.86/20,447.85 = 8,847.16/x
  3. Step 3: Cross multiply
    14,816.86x = 20,447.85 × 8,847.16
  4. Step 4: Simplify right side
    14,816.86x = 180,905,400.61
  5. Step 5: Solve for x
    x = 180,905,400.61/14,816.86
  6. Step 6: Final answer
    x = 12,209.43

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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.