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Finding the Fourth Proportional to 23,409.56, 32,282.88 and 15,331.16

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Solution

The fourth proportional to 23,409.56, 32,282.88 and 15,331.16 is: 21,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409.56 : 32,282.88 = 15,331.16 : x
  2. Step 2: Convert to fraction form
    23,409.56/32,282.88 = 15,331.16/x
  3. Step 3: Cross multiply
    23,409.56x = 32,282.88 × 15,331.16
  4. Step 4: Simplify right side
    23,409.56x = 494,933,998.54
  5. Step 5: Solve for x
    x = 494,933,998.54/23,409.56
  6. Step 6: Final answer
    x = 21,142.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.