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Finding the Fourth Proportional to 30,926.83, 42,674.49 and 17,314.17

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Solution

The fourth proportional to 30,926.83, 42,674.49 and 17,314.17 is: 23,891.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,926.83 : 42,674.49 = 17,314.17 : x
  2. Step 2: Convert to fraction form
    30,926.83/42,674.49 = 17,314.17/x
  3. Step 3: Cross multiply
    30,926.83x = 42,674.49 × 17,314.17
  4. Step 4: Simplify right side
    30,926.83x = 738,873,374.52
  5. Step 5: Solve for x
    x = 738,873,374.52/30,926.83
  6. Step 6: Final answer
    x = 23,891.02

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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.