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Finding the Fourth Proportional to 22,664.34, 33,947.28 and 10,953

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Solution

The fourth proportional to 22,664.34, 33,947.28 and 10,953 is: 16,405.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,664.34 : 33,947.28 = 10,953 : x
  2. Step 2: Convert to fraction form
    22,664.34/33,947.28 = 10,953/x
  3. Step 3: Cross multiply
    22,664.34x = 33,947.28 × 10,953
  4. Step 4: Simplify right side
    22,664.34x = 371,824,557.84
  5. Step 5: Solve for x
    x = 371,824,557.84/22,664.34
  6. Step 6: Final answer
    x = 16,405.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.