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Finding the Fourth Proportional to 22,959.48, 31,648.14 and 14,997.72

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Solution

The fourth proportional to 22,959.48, 31,648.14 and 14,997.72 is: 20,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,959.48 : 31,648.14 = 14,997.72 : x
  2. Step 2: Convert to fraction form
    22,959.48/31,648.14 = 14,997.72/x
  3. Step 3: Cross multiply
    22,959.48x = 31,648.14 × 14,997.72
  4. Step 4: Simplify right side
    22,959.48x = 474,649,942.24
  5. Step 5: Solve for x
    x = 474,649,942.24/22,959.48
  6. Step 6: Final answer
    x = 20,673.38

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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.