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Finding the Fourth Proportional to 21,165.63, 31,747.46 and 8,682.57

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Solution

The fourth proportional to 21,165.63, 31,747.46 and 8,682.57 is: 13,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,165.63 : 31,747.46 = 8,682.57 : x
  2. Step 2: Convert to fraction form
    21,165.63/31,747.46 = 8,682.57/x
  3. Step 3: Cross multiply
    21,165.63x = 31,747.46 × 8,682.57
  4. Step 4: Simplify right side
    21,165.63x = 275,649,543.77
  5. Step 5: Solve for x
    x = 275,649,543.77/21,165.63
  6. Step 6: Final answer
    x = 13,023.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.