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Finding the Fourth Proportional to 22,076.16, 33,098.04 and 10,383

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Solution

The fourth proportional to 22,076.16, 33,098.04 and 10,383 is: 15,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,076.16 : 33,098.04 = 10,383 : x
  2. Step 2: Convert to fraction form
    22,076.16/33,098.04 = 10,383/x
  3. Step 3: Cross multiply
    22,076.16x = 33,098.04 × 10,383
  4. Step 4: Simplify right side
    22,076.16x = 343,656,949.32
  5. Step 5: Solve for x
    x = 343,656,949.32/22,076.16
  6. Step 6: Final answer
    x = 15,566.88

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