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Finding the Fourth Proportional to 13,053.52, 18,022.68 and 8,344.16

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Solution

The fourth proportional to 13,053.52, 18,022.68 and 8,344.16 is: 11,520.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.52 : 18,022.68 = 8,344.16 : x
  2. Step 2: Convert to fraction form
    13,053.52/18,022.68 = 8,344.16/x
  3. Step 3: Cross multiply
    13,053.52x = 18,022.68 × 8,344.16
  4. Step 4: Simplify right side
    13,053.52x = 150,384,125.55
  5. Step 5: Solve for x
    x = 150,384,125.55/13,053.52
  6. Step 6: Final answer
    x = 11,520.58

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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.