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Finding the Fourth Proportional to 22,362.32, 33,541.32 and 6,780.08

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Solution

The fourth proportional to 22,362.32, 33,541.32 and 6,780.08 is: 10,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,362.32 : 33,541.32 = 6,780.08 : x
  2. Step 2: Convert to fraction form
    22,362.32/33,541.32 = 6,780.08/x
  3. Step 3: Cross multiply
    22,362.32x = 33,541.32 × 6,780.08
  4. Step 4: Simplify right side
    22,362.32x = 227,412,832.91
  5. Step 5: Solve for x
    x = 227,412,832.91/22,362.32
  6. Step 6: Final answer
    x = 10,169.47

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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.