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Finding the Fourth Proportional to 30,920.71, 46,383.66 and 9,863.77

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Solution

The fourth proportional to 30,920.71, 46,383.66 and 9,863.77 is: 14,796.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,920.71 : 46,383.66 = 9,863.77 : x
  2. Step 2: Convert to fraction form
    30,920.71/46,383.66 = 9,863.77/x
  3. Step 3: Cross multiply
    30,920.71x = 46,383.66 × 9,863.77
  4. Step 4: Simplify right side
    30,920.71x = 457,517,754.00
  5. Step 5: Solve for x
    x = 457,517,754.00/30,920.71
  6. Step 6: Final answer
    x = 14,796.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.