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Finding the Fourth Proportional to 15,749.84, 21,734.66 and 8,676.24

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Solution

The fourth proportional to 15,749.84, 21,734.66 and 8,676.24 is: 11,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,749.84 : 21,734.66 = 8,676.24 : x
  2. Step 2: Convert to fraction form
    15,749.84/21,734.66 = 8,676.24/x
  3. Step 3: Cross multiply
    15,749.84x = 21,734.66 × 8,676.24
  4. Step 4: Simplify right side
    15,749.84x = 188,575,126.48
  5. Step 5: Solve for x
    x = 188,575,126.48/15,749.84
  6. Step 6: Final answer
    x = 11,973.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.