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Finding the Fourth Proportional to 17,731, 24,468.48 and 9,773.06

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Solution

The fourth proportional to 17,731, 24,468.48 and 9,773.06 is: 13,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,731 : 24,468.48 = 9,773.06 : x
  2. Step 2: Convert to fraction form
    17,731/24,468.48 = 9,773.06/x
  3. Step 3: Cross multiply
    17,731x = 24,468.48 × 9,773.06
  4. Step 4: Simplify right side
    17,731x = 239,131,923.15
  5. Step 5: Solve for x
    x = 239,131,923.15/17,731
  6. Step 6: Final answer
    x = 13,486.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.