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Finding the Fourth Proportional to 22,076.88, 33,087.24 and 10,374

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Solution

The fourth proportional to 22,076.88, 33,087.24 and 10,374 is: 15,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,076.88 : 33,087.24 = 10,374 : x
  2. Step 2: Convert to fraction form
    22,076.88/33,087.24 = 10,374/x
  3. Step 3: Cross multiply
    22,076.88x = 33,087.24 × 10,374
  4. Step 4: Simplify right side
    22,076.88x = 343,247,027.76
  5. Step 5: Solve for x
    x = 343,247,027.76/22,076.88
  6. Step 6: Final answer
    x = 15,547.81

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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.