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Finding the Fourth Proportional to 17,713.82, 24,437.74 and 10,542.30

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Solution

The fourth proportional to 17,713.82, 24,437.74 and 10,542.30 is: 14,544.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.82 : 24,437.74 = 10,542.30 : x
  2. Step 2: Convert to fraction form
    17,713.82/24,437.74 = 10,542.30/x
  3. Step 3: Cross multiply
    17,713.82x = 24,437.74 × 10,542.30
  4. Step 4: Simplify right side
    17,713.82x = 257,629,986.40
  5. Step 5: Solve for x
    x = 257,629,986.40/17,713.82
  6. Step 6: Final answer
    x = 14,544.01

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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.