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Finding the Fourth Proportional to 15,676.55, 21,633.56 and 8,506.31

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Solution

The fourth proportional to 15,676.55, 21,633.56 and 8,506.31 is: 11,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676.55 : 21,633.56 = 8,506.31 : x
  2. Step 2: Convert to fraction form
    15,676.55/21,633.56 = 8,506.31/x
  3. Step 3: Cross multiply
    15,676.55x = 21,633.56 × 8,506.31
  4. Step 4: Simplify right side
    15,676.55x = 184,021,617.06
  5. Step 5: Solve for x
    x = 184,021,617.06/15,676.55
  6. Step 6: Final answer
    x = 11,738.66

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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.