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Finding the Fourth Proportional to 13,324.88, 18,393.72 and 8,024.24

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Solution

The fourth proportional to 13,324.88, 18,393.72 and 8,024.24 is: 11,076.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,324.88 : 18,393.72 = 8,024.24 : x
  2. Step 2: Convert to fraction form
    13,324.88/18,393.72 = 8,024.24/x
  3. Step 3: Cross multiply
    13,324.88x = 18,393.72 × 8,024.24
  4. Step 4: Simplify right side
    13,324.88x = 147,595,623.77
  5. Step 5: Solve for x
    x = 147,595,623.77/13,324.88
  6. Step 6: Final answer
    x = 11,076.69

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1.5x scale

Why These Related Problems?

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