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Finding the Fourth Proportional to 17,713.98, 24,446.25 and 10,646.46

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Solution

The fourth proportional to 17,713.98, 24,446.25 and 10,646.46 is: 14,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.98 : 24,446.25 = 10,646.46 : x
  2. Step 2: Convert to fraction form
    17,713.98/24,446.25 = 10,646.46/x
  3. Step 3: Cross multiply
    17,713.98x = 24,446.25 × 10,646.46
  4. Step 4: Simplify right side
    17,713.98x = 260,266,022.78
  5. Step 5: Solve for x
    x = 260,266,022.78/17,713.98
  6. Step 6: Final answer
    x = 14,692.69

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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.