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Finding the Fourth Proportional to 19,832.13, 29,729.07 and 7,348.77

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Solution

The fourth proportional to 19,832.13, 29,729.07 and 7,348.77 is: 11,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,832.13 : 29,729.07 = 7,348.77 : x
  2. Step 2: Convert to fraction form
    19,832.13/29,729.07 = 7,348.77/x
  3. Step 3: Cross multiply
    19,832.13x = 29,729.07 × 7,348.77
  4. Step 4: Simplify right side
    19,832.13x = 218,472,097.74
  5. Step 5: Solve for x
    x = 218,472,097.74/19,832.13
  6. Step 6: Final answer
    x = 11,016.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.