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Finding the Fourth Proportional to 23,181.89, 31,995.54 and 15,223.91

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Solution

The fourth proportional to 23,181.89, 31,995.54 and 15,223.91 is: 21,011.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,181.89 : 31,995.54 = 15,223.91 : x
  2. Step 2: Convert to fraction form
    23,181.89/31,995.54 = 15,223.91/x
  3. Step 3: Cross multiply
    23,181.89x = 31,995.54 × 15,223.91
  4. Step 4: Simplify right side
    23,181.89x = 487,097,061.38
  5. Step 5: Solve for x
    x = 487,097,061.38/23,181.89
  6. Step 6: Final answer
    x = 21,011.97

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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.