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Finding the Fourth Proportional to 23,513.38, 32,449.90 and 15,541.78

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Solution

The fourth proportional to 23,513.38, 32,449.90 and 15,541.78 is: 21,448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,513.38 : 32,449.90 = 15,541.78 : x
  2. Step 2: Convert to fraction form
    23,513.38/32,449.90 = 15,541.78/x
  3. Step 3: Cross multiply
    23,513.38x = 32,449.90 × 15,541.78
  4. Step 4: Simplify right side
    23,513.38x = 504,329,206.82
  5. Step 5: Solve for x
    x = 504,329,206.82/23,513.38
  6. Step 6: Final answer
    x = 21,448.61

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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.