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Finding the Fourth Proportional to 12,283.40, 18,406.20 and 9,148.70

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Solution

The fourth proportional to 12,283.40, 18,406.20 and 9,148.70 is: 13,708.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.40 : 18,406.20 = 9,148.70 : x
  2. Step 2: Convert to fraction form
    12,283.40/18,406.20 = 9,148.70/x
  3. Step 3: Cross multiply
    12,283.40x = 18,406.20 × 9,148.70
  4. Step 4: Simplify right side
    12,283.40x = 168,392,801.94
  5. Step 5: Solve for x
    x = 168,392,801.94/12,283.40
  6. Step 6: Final answer
    x = 13,708.97

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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.