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Finding the Fourth Proportional to 15,749.98, 21,735.02 and 8,676.38

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Solution

The fourth proportional to 15,749.98, 21,735.02 and 8,676.38 is: 11,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,749.98 : 21,735.02 = 8,676.38 : x
  2. Step 2: Convert to fraction form
    15,749.98/21,735.02 = 8,676.38/x
  3. Step 3: Cross multiply
    15,749.98x = 21,735.02 × 8,676.38
  4. Step 4: Simplify right side
    15,749.98x = 188,581,368.86
  5. Step 5: Solve for x
    x = 188,581,368.86/15,749.98
  6. Step 6: Final answer
    x = 11,973.44

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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.