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Finding the Fourth Proportional to 13,630.24, 18,811.47 and 8,323.93

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Solution

The fourth proportional to 13,630.24, 18,811.47 and 8,323.93 is: 11,488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.24 : 18,811.47 = 8,323.93 : x
  2. Step 2: Convert to fraction form
    13,630.24/18,811.47 = 8,323.93/x
  3. Step 3: Cross multiply
    13,630.24x = 18,811.47 × 8,323.93
  4. Step 4: Simplify right side
    13,630.24x = 156,585,359.48
  5. Step 5: Solve for x
    x = 156,585,359.48/13,630.24
  6. Step 6: Final answer
    x = 11,488.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.