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Finding the Fourth Proportional to 23,891.72, 32,972.09 and 13,281.30

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Solution

The fourth proportional to 23,891.72, 32,972.09 and 13,281.30 is: 18,329.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,891.72 : 32,972.09 = 13,281.30 : x
  2. Step 2: Convert to fraction form
    23,891.72/32,972.09 = 13,281.30/x
  3. Step 3: Cross multiply
    23,891.72x = 32,972.09 × 13,281.30
  4. Step 4: Simplify right side
    23,891.72x = 437,912,152.51
  5. Step 5: Solve for x
    x = 437,912,152.51/23,891.72
  6. Step 6: Final answer
    x = 18,329.04

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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.