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Finding the Fourth Proportional to 20,847.98, 31,263.77 and 9,153

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Solution

The fourth proportional to 20,847.98, 31,263.77 and 9,153 is: 13,725.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,847.98 : 31,263.77 = 9,153 : x
  2. Step 2: Convert to fraction form
    20,847.98/31,263.77 = 9,153/x
  3. Step 3: Cross multiply
    20,847.98x = 31,263.77 × 9,153
  4. Step 4: Simplify right side
    20,847.98x = 286,157,309.69
  5. Step 5: Solve for x
    x = 286,157,309.69/20,847.98
  6. Step 6: Final answer
    x = 13,725.90

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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.