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Finding the Fourth Proportional to 22,612.70, 31,172.75 and 15,877.82

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Solution

The fourth proportional to 22,612.70, 31,172.75 and 15,877.82 is: 21,888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.70 : 31,172.75 = 15,877.82 : x
  2. Step 2: Convert to fraction form
    22,612.70/31,172.75 = 15,877.82/x
  3. Step 3: Cross multiply
    22,612.70x = 31,172.75 × 15,877.82
  4. Step 4: Simplify right side
    22,612.70x = 494,955,313.41
  5. Step 5: Solve for x
    x = 494,955,313.41/22,612.70
  6. Step 6: Final answer
    x = 21,888.38

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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.