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Finding the Fourth Proportional to 12,285.40, 18,409.20 and 9,150.70

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Solution

The fourth proportional to 12,285.40, 18,409.20 and 9,150.70 is: 13,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.40 : 18,409.20 = 9,150.70 : x
  2. Step 2: Convert to fraction form
    12,285.40/18,409.20 = 9,150.70/x
  3. Step 3: Cross multiply
    12,285.40x = 18,409.20 × 9,150.70
  4. Step 4: Simplify right side
    12,285.40x = 168,457,066.44
  5. Step 5: Solve for x
    x = 168,457,066.44/12,285.40
  6. Step 6: Final answer
    x = 13,711.97

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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.