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Finding the Fourth Proportional to 12,203.92, 18,321.59 and 9,833.45

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Solution

The fourth proportional to 12,203.92, 18,321.59 and 9,833.45 is: 14,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.92 : 18,321.59 = 9,833.45 : x
  2. Step 2: Convert to fraction form
    12,203.92/18,321.59 = 9,833.45/x
  3. Step 3: Cross multiply
    12,203.92x = 18,321.59 × 9,833.45
  4. Step 4: Simplify right side
    12,203.92x = 180,164,475.22
  5. Step 5: Solve for x
    x = 180,164,475.22/12,203.92
  6. Step 6: Final answer
    x = 14,762.84

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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.