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Finding the Fourth Proportional to 13,519.23, 18,655.27 and 8,739.28

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Solution

The fourth proportional to 13,519.23, 18,655.27 and 8,739.28 is: 12,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,519.23 : 18,655.27 = 8,739.28 : x
  2. Step 2: Convert to fraction form
    13,519.23/18,655.27 = 8,739.28/x
  3. Step 3: Cross multiply
    13,519.23x = 18,655.27 × 8,739.28
  4. Step 4: Simplify right side
    13,519.23x = 163,033,628.01
  5. Step 5: Solve for x
    x = 163,033,628.01/13,519.23
  6. Step 6: Final answer
    x = 12,059.39

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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.