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Finding the Fourth Proportional to 17,710.12, 24,434.94 and 11,426.14

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Solution

The fourth proportional to 17,710.12, 24,434.94 and 11,426.14 is: 15,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.12 : 24,434.94 = 11,426.14 : x
  2. Step 2: Convert to fraction form
    17,710.12/24,434.94 = 11,426.14/x
  3. Step 3: Cross multiply
    17,710.12x = 24,434.94 × 11,426.14
  4. Step 4: Simplify right side
    17,710.12x = 279,197,045.33
  5. Step 5: Solve for x
    x = 279,197,045.33/17,710.12
  6. Step 6: Final answer
    x = 15,764.83

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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.