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Finding the Fourth Proportional to 23,209.50, 32,033.16 and 13,777.86

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Solution

The fourth proportional to 23,209.50, 32,033.16 and 13,777.86 is: 19,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,209.50 : 32,033.16 = 13,777.86 : x
  2. Step 2: Convert to fraction form
    23,209.50/32,033.16 = 13,777.86/x
  3. Step 3: Cross multiply
    23,209.50x = 32,033.16 × 13,777.86
  4. Step 4: Simplify right side
    23,209.50x = 441,348,393.84
  5. Step 5: Solve for x
    x = 441,348,393.84/23,209.50
  6. Step 6: Final answer
    x = 19,015.85

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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.