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Finding the Fourth Proportional to 23,122.50, 31,909.05 and 13,186.50

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Solution

The fourth proportional to 23,122.50, 31,909.05 and 13,186.50 is: 18,197.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,122.50 : 31,909.05 = 13,186.50 : x
  2. Step 2: Convert to fraction form
    23,122.50/31,909.05 = 13,186.50/x
  3. Step 3: Cross multiply
    23,122.50x = 31,909.05 × 13,186.50
  4. Step 4: Simplify right side
    23,122.50x = 420,768,687.83
  5. Step 5: Solve for x
    x = 420,768,687.83/23,122.50
  6. Step 6: Final answer
    x = 18,197.37

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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.