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Finding the Fourth Proportional to 30,957.70, 46,426.83 and 13,188.17

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Solution

The fourth proportional to 30,957.70, 46,426.83 and 13,188.17 is: 19,778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,957.70 : 46,426.83 = 13,188.17 : x
  2. Step 2: Convert to fraction form
    30,957.70/46,426.83 = 13,188.17/x
  3. Step 3: Cross multiply
    30,957.70x = 46,426.83 × 13,188.17
  4. Step 4: Simplify right side
    30,957.70x = 612,284,976.73
  5. Step 5: Solve for x
    x = 612,284,976.73/30,957.70
  6. Step 6: Final answer
    x = 19,778.12

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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.