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Finding the Fourth Proportional to 19,832.32, 29,729.52 and 7,349.01

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Solution

The fourth proportional to 19,832.32, 29,729.52 and 7,349.01 is: 11,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,832.32 : 29,729.52 = 7,349.01 : x
  2. Step 2: Convert to fraction form
    19,832.32/29,729.52 = 7,349.01/x
  3. Step 3: Cross multiply
    19,832.32x = 29,729.52 × 7,349.01
  4. Step 4: Simplify right side
    19,832.32x = 218,482,539.78
  5. Step 5: Solve for x
    x = 218,482,539.78/19,832.32
  6. Step 6: Final answer
    x = 11,016.49

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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.