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Finding the Fourth Proportional to 12,909.39, 17,808.38 and 8,435.76

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Solution

The fourth proportional to 12,909.39, 17,808.38 and 8,435.76 is: 11,637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.39 : 17,808.38 = 8,435.76 : x
  2. Step 2: Convert to fraction form
    12,909.39/17,808.38 = 8,435.76/x
  3. Step 3: Cross multiply
    12,909.39x = 17,808.38 × 8,435.76
  4. Step 4: Simplify right side
    12,909.39x = 150,227,177.49
  5. Step 5: Solve for x
    x = 150,227,177.49/12,909.39
  6. Step 6: Final answer
    x = 11,637.05

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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.