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Finding the Fourth Proportional to 19,729.65, 29,607.42 and 7,249.77

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Solution

The fourth proportional to 19,729.65, 29,607.42 and 7,249.77 is: 10,879.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.65 : 29,607.42 = 7,249.77 : x
  2. Step 2: Convert to fraction form
    19,729.65/29,607.42 = 7,249.77/x
  3. Step 3: Cross multiply
    19,729.65x = 29,607.42 × 7,249.77
  4. Step 4: Simplify right side
    19,729.65x = 214,646,985.29
  5. Step 5: Solve for x
    x = 214,646,985.29/19,729.65
  6. Step 6: Final answer
    x = 10,879.41

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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.