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Finding the Fourth Proportional to 13,077.50, 18,049.38 and 7,488.50

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Solution

The fourth proportional to 13,077.50, 18,049.38 and 7,488.50 is: 10,335.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.50 : 18,049.38 = 7,488.50 : x
  2. Step 2: Convert to fraction form
    13,077.50/18,049.38 = 7,488.50/x
  3. Step 3: Cross multiply
    13,077.50x = 18,049.38 × 7,488.50
  4. Step 4: Simplify right side
    13,077.50x = 135,162,782.13
  5. Step 5: Solve for x
    x = 135,162,782.13/13,077.50
  6. Step 6: Final answer
    x = 10,335.52

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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.