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Finding the Fourth Proportional to 23,238.65, 32,069.52 and 12,628.28

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Solution

The fourth proportional to 23,238.65, 32,069.52 and 12,628.28 is: 17,427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,238.65 : 32,069.52 = 12,628.28 : x
  2. Step 2: Convert to fraction form
    23,238.65/32,069.52 = 12,628.28/x
  3. Step 3: Cross multiply
    23,238.65x = 32,069.52 × 12,628.28
  4. Step 4: Simplify right side
    23,238.65x = 404,982,717.68
  5. Step 5: Solve for x
    x = 404,982,717.68/23,238.65
  6. Step 6: Final answer
    x = 17,427.12

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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.