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Finding the Fourth Proportional to 30,891.96, 42,634.28 and 17,284.94

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Solution

The fourth proportional to 30,891.96, 42,634.28 and 17,284.94 is: 23,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.96 : 42,634.28 = 17,284.94 : x
  2. Step 2: Convert to fraction form
    30,891.96/42,634.28 = 17,284.94/x
  3. Step 3: Cross multiply
    30,891.96x = 42,634.28 × 17,284.94
  4. Step 4: Simplify right side
    30,891.96x = 736,930,971.74
  5. Step 5: Solve for x
    x = 736,930,971.74/30,891.96
  6. Step 6: Final answer
    x = 23,855.11

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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.