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Finding the Fourth Proportional to 19,805.32, 29,722.92 and 7,337.08

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Solution

The fourth proportional to 19,805.32, 29,722.92 and 7,337.08 is: 11,011.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.32 : 29,722.92 = 7,337.08 : x
  2. Step 2: Convert to fraction form
    19,805.32/29,722.92 = 7,337.08/x
  3. Step 3: Cross multiply
    19,805.32x = 29,722.92 × 7,337.08
  4. Step 4: Simplify right side
    19,805.32x = 218,079,441.87
  5. Step 5: Solve for x
    x = 218,079,441.87/19,805.32
  6. Step 6: Final answer
    x = 11,011.15

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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.