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Finding the Fourth Proportional to 13,269.96, 19,909.26 and 6,345

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Solution

The fourth proportional to 13,269.96, 19,909.26 and 6,345 is: 9,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,269.96 : 19,909.26 = 6,345 : x
  2. Step 2: Convert to fraction form
    13,269.96/19,909.26 = 6,345/x
  3. Step 3: Cross multiply
    13,269.96x = 19,909.26 × 6,345
  4. Step 4: Simplify right side
    13,269.96x = 126,324,254.70
  5. Step 5: Solve for x
    x = 126,324,254.70/13,269.96
  6. Step 6: Final answer
    x = 9,519.57

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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.