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Finding the Fourth Proportional to 23,177.85, 31,989.42 and 13,109.42

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Solution

The fourth proportional to 23,177.85, 31,989.42 and 13,109.42 is: 18,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,177.85 : 31,989.42 = 13,109.42 : x
  2. Step 2: Convert to fraction form
    23,177.85/31,989.42 = 13,109.42/x
  3. Step 3: Cross multiply
    23,177.85x = 31,989.42 × 13,109.42
  4. Step 4: Simplify right side
    23,177.85x = 419,362,582.39
  5. Step 5: Solve for x
    x = 419,362,582.39/23,177.85
  6. Step 6: Final answer
    x = 18,093.25

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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.