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Finding the Fourth Proportional to 23,411.84, 32,287.28 and 15,462.09

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Solution

The fourth proportional to 23,411.84, 32,287.28 and 15,462.09 is: 21,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411.84 : 32,287.28 = 15,462.09 : x
  2. Step 2: Convert to fraction form
    23,411.84/32,287.28 = 15,462.09/x
  3. Step 3: Cross multiply
    23,411.84x = 32,287.28 × 15,462.09
  4. Step 4: Simplify right side
    23,411.84x = 499,228,751.90
  5. Step 5: Solve for x
    x = 499,228,751.90/23,411.84
  6. Step 6: Final answer
    x = 21,323.78

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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.