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Finding the Fourth Proportional to 22,435.59, 33,652.17 and 6,852

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Solution

The fourth proportional to 22,435.59, 33,652.17 and 6,852 is: 10,277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,435.59 : 33,652.17 = 6,852 : x
  2. Step 2: Convert to fraction form
    22,435.59/33,652.17 = 6,852/x
  3. Step 3: Cross multiply
    22,435.59x = 33,652.17 × 6,852
  4. Step 4: Simplify right side
    22,435.59x = 230,584,668.84
  5. Step 5: Solve for x
    x = 230,584,668.84/22,435.59
  6. Step 6: Final answer
    x = 10,277.63

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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.