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Finding the Fourth Proportional to 22,359.08, 33,538.62 and 7,568

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Solution

The fourth proportional to 22,359.08, 33,538.62 and 7,568 is: 11,352

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,359.08 : 33,538.62 = 7,568 : x
  2. Step 2: Convert to fraction form
    22,359.08/33,538.62 = 7,568/x
  3. Step 3: Cross multiply
    22,359.08x = 33,538.62 × 7,568
  4. Step 4: Simplify right side
    22,359.08x = 253,820,276.16
  5. Step 5: Solve for x
    x = 253,820,276.16/22,359.08
  6. Step 6: Final answer
    x = 11,352

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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.