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Finding the Fourth Proportional to 22,959.66, 31,687.50 and 12,752.98

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Solution

The fourth proportional to 22,959.66, 31,687.50 and 12,752.98 is: 17,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,959.66 : 31,687.50 = 12,752.98 : x
  2. Step 2: Convert to fraction form
    22,959.66/31,687.50 = 12,752.98/x
  3. Step 3: Cross multiply
    22,959.66x = 31,687.50 × 12,752.98
  4. Step 4: Simplify right side
    22,959.66x = 404,110,053.75
  5. Step 5: Solve for x
    x = 404,110,053.75/22,959.66
  6. Step 6: Final answer
    x = 17,600.87

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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.