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Finding the Fourth Proportional to 22,392, 33,565.32 and 9,251.64

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Solution

The fourth proportional to 22,392, 33,565.32 and 9,251.64 is: 13,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,392 : 33,565.32 = 9,251.64 : x
  2. Step 2: Convert to fraction form
    22,392/33,565.32 = 9,251.64/x
  3. Step 3: Cross multiply
    22,392x = 33,565.32 × 9,251.64
  4. Step 4: Simplify right side
    22,392x = 310,534,257.12
  5. Step 5: Solve for x
    x = 310,534,257.12/22,392
  6. Step 6: Final answer
    x = 13,868.09

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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.