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Finding the Fourth Proportional to 17,905.69, 24,713.07 and 10,350.98

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Solution

The fourth proportional to 17,905.69, 24,713.07 and 10,350.98 is: 14,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,905.69 : 24,713.07 = 10,350.98 : x
  2. Step 2: Convert to fraction form
    17,905.69/24,713.07 = 10,350.98/x
  3. Step 3: Cross multiply
    17,905.69x = 24,713.07 × 10,350.98
  4. Step 4: Simplify right side
    17,905.69x = 255,804,493.31
  5. Step 5: Solve for x
    x = 255,804,493.31/17,905.69
  6. Step 6: Final answer
    x = 14,286.21

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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.