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Finding the Fourth Proportional to 17,606.56, 26,412 and 8,241.76

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Solution

The fourth proportional to 17,606.56, 26,412 and 8,241.76 is: 12,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,606.56 : 26,412 = 8,241.76 : x
  2. Step 2: Convert to fraction form
    17,606.56/26,412 = 8,241.76/x
  3. Step 3: Cross multiply
    17,606.56x = 26,412 × 8,241.76
  4. Step 4: Simplify right side
    17,606.56x = 217,681,365.12
  5. Step 5: Solve for x
    x = 217,681,365.12/17,606.56
  6. Step 6: Final answer
    x = 12,363.65

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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.