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Finding the Fourth Proportional to 23,114.25, 31,897.67 and 13,178.25

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Solution

The fourth proportional to 23,114.25, 31,897.67 and 13,178.25 is: 18,185.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.25 : 31,897.67 = 13,178.25 : x
  2. Step 2: Convert to fraction form
    23,114.25/31,897.67 = 13,178.25/x
  3. Step 3: Cross multiply
    23,114.25x = 31,897.67 × 13,178.25
  4. Step 4: Simplify right side
    23,114.25x = 420,355,403.79
  5. Step 5: Solve for x
    x = 420,355,403.79/23,114.25
  6. Step 6: Final answer
    x = 18,185.99

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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.