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Finding the Fourth Proportional to 22,321.92, 33,486 and 7,535.10

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Solution

The fourth proportional to 22,321.92, 33,486 and 7,535.10 is: 11,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,321.92 : 33,486 = 7,535.10 : x
  2. Step 2: Convert to fraction form
    22,321.92/33,486 = 7,535.10/x
  3. Step 3: Cross multiply
    22,321.92x = 33,486 × 7,535.10
  4. Step 4: Simplify right side
    22,321.92x = 252,320,358.60
  5. Step 5: Solve for x
    x = 252,320,358.60/22,321.92
  6. Step 6: Final answer
    x = 11,303.70

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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.