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Finding the Fourth Proportional to 23,382.92, 32,277.54 and 15,825.56

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Solution

The fourth proportional to 23,382.92, 32,277.54 and 15,825.56 is: 21,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,382.92 : 32,277.54 = 15,825.56 : x
  2. Step 2: Convert to fraction form
    23,382.92/32,277.54 = 15,825.56/x
  3. Step 3: Cross multiply
    23,382.92x = 32,277.54 × 15,825.56
  4. Step 4: Simplify right side
    23,382.92x = 510,810,145.92
  5. Step 5: Solve for x
    x = 510,810,145.92/23,382.92
  6. Step 6: Final answer
    x = 21,845.44

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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.