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Finding the Fourth Proportional to 22,047.68, 33,076.36 and 7,256

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Solution

The fourth proportional to 22,047.68, 33,076.36 and 7,256 is: 10,885.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,047.68 : 33,076.36 = 7,256 : x
  2. Step 2: Convert to fraction form
    22,047.68/33,076.36 = 7,256/x
  3. Step 3: Cross multiply
    22,047.68x = 33,076.36 × 7,256
  4. Step 4: Simplify right side
    22,047.68x = 240,002,068.16
  5. Step 5: Solve for x
    x = 240,002,068.16/22,047.68
  6. Step 6: Final answer
    x = 10,885.59

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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.