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Finding the Fourth Proportional to 23,891.81, 32,970.92 and 13,137.23

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Solution

The fourth proportional to 23,891.81, 32,970.92 and 13,137.23 is: 18,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,891.81 : 32,970.92 = 13,137.23 : x
  2. Step 2: Convert to fraction form
    23,891.81/32,970.92 = 13,137.23/x
  3. Step 3: Cross multiply
    23,891.81x = 32,970.92 × 13,137.23
  4. Step 4: Simplify right side
    23,891.81x = 433,146,576.09
  5. Step 5: Solve for x
    x = 433,146,576.09/23,891.81
  6. Step 6: Final answer
    x = 18,129.50

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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.