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Finding the Fourth Proportional to 22,290.08, 33,438 and 6,709.28

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Solution

The fourth proportional to 22,290.08, 33,438 and 6,709.28 is: 10,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,290.08 : 33,438 = 6,709.28 : x
  2. Step 2: Convert to fraction form
    22,290.08/33,438 = 6,709.28/x
  3. Step 3: Cross multiply
    22,290.08x = 33,438 × 6,709.28
  4. Step 4: Simplify right side
    22,290.08x = 224,344,904.64
  5. Step 5: Solve for x
    x = 224,344,904.64/22,290.08
  6. Step 6: Final answer
    x = 10,064.79

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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.