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Finding the Fourth Proportional to 30,296.84, 41,809.14 and 17,723.72

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Solution

The fourth proportional to 30,296.84, 41,809.14 and 17,723.72 is: 24,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296.84 : 41,809.14 = 17,723.72 : x
  2. Step 2: Convert to fraction form
    30,296.84/41,809.14 = 17,723.72/x
  3. Step 3: Cross multiply
    30,296.84x = 41,809.14 × 17,723.72
  4. Step 4: Simplify right side
    30,296.84x = 741,013,490.80
  5. Step 5: Solve for x
    x = 741,013,490.80/30,296.84
  6. Step 6: Final answer
    x = 24,458.44

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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.