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Finding the Fourth Proportional to 13,073.82, 19,609.10 and 4,753.50

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Solution

The fourth proportional to 13,073.82, 19,609.10 and 4,753.50 is: 7,129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,073.82 : 19,609.10 = 4,753.50 : x
  2. Step 2: Convert to fraction form
    13,073.82/19,609.10 = 4,753.50/x
  3. Step 3: Cross multiply
    13,073.82x = 19,609.10 × 4,753.50
  4. Step 4: Simplify right side
    13,073.82x = 93,211,856.85
  5. Step 5: Solve for x
    x = 93,211,856.85/13,073.82
  6. Step 6: Final answer
    x = 7,129.66

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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.