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Finding the Fourth Proportional to 13,655.52, 20,493 and 5,866.56

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Solution

The fourth proportional to 13,655.52, 20,493 and 5,866.56 is: 8,804.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,655.52 : 20,493 = 5,866.56 : x
  2. Step 2: Convert to fraction form
    13,655.52/20,493 = 5,866.56/x
  3. Step 3: Cross multiply
    13,655.52x = 20,493 × 5,866.56
  4. Step 4: Simplify right side
    13,655.52x = 120,223,414.08
  5. Step 5: Solve for x
    x = 120,223,414.08/13,655.52
  6. Step 6: Final answer
    x = 8,804.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.