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Finding the Fourth Proportional to 13,357.74, 18,433.86 and 8,324.00

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Solution

The fourth proportional to 13,357.74, 18,433.86 and 8,324.00 is: 11,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357.74 : 18,433.86 = 8,324.00 : x
  2. Step 2: Convert to fraction form
    13,357.74/18,433.86 = 8,324.00/x
  3. Step 3: Cross multiply
    13,357.74x = 18,433.86 × 8,324.00
  4. Step 4: Simplify right side
    13,357.74x = 153,443,358.47
  5. Step 5: Solve for x
    x = 153,443,358.47/13,357.74
  6. Step 6: Final answer
    x = 11,487.22

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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.