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Finding the Fourth Proportional to 23,041.31, 31,796.64 and 12,969.72

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Solution

The fourth proportional to 23,041.31, 31,796.64 and 12,969.72 is: 17,898.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,041.31 : 31,796.64 = 12,969.72 : x
  2. Step 2: Convert to fraction form
    23,041.31/31,796.64 = 12,969.72/x
  3. Step 3: Cross multiply
    23,041.31x = 31,796.64 × 12,969.72
  4. Step 4: Simplify right side
    23,041.31x = 412,393,517.74
  5. Step 5: Solve for x
    x = 412,393,517.74/23,041.31
  6. Step 6: Final answer
    x = 17,898.01

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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.