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Finding the Fourth Proportional to 23,167.44, 31,970.88 and 13,740.48

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Solution

The fourth proportional to 23,167.44, 31,970.88 and 13,740.48 is: 18,961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,167.44 : 31,970.88 = 13,740.48 : x
  2. Step 2: Convert to fraction form
    23,167.44/31,970.88 = 13,740.48/x
  3. Step 3: Cross multiply
    23,167.44x = 31,970.88 × 13,740.48
  4. Step 4: Simplify right side
    23,167.44x = 439,295,237.22
  5. Step 5: Solve for x
    x = 439,295,237.22/23,167.44
  6. Step 6: Final answer
    x = 18,961.75

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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.