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Finding the Fourth Proportional to 17,387.73, 23,994.63 and 10,314

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Solution

The fourth proportional to 17,387.73, 23,994.63 and 10,314 is: 14,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,387.73 : 23,994.63 = 10,314 : x
  2. Step 2: Convert to fraction form
    17,387.73/23,994.63 = 10,314/x
  3. Step 3: Cross multiply
    17,387.73x = 23,994.63 × 10,314
  4. Step 4: Simplify right side
    17,387.73x = 247,480,613.82
  5. Step 5: Solve for x
    x = 247,480,613.82/17,387.73
  6. Step 6: Final answer
    x = 14,233.06

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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.