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Finding the Fourth Proportional to 12,600.84, 18,883.92 and 5,838.46

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Solution

The fourth proportional to 12,600.84, 18,883.92 and 5,838.46 is: 8,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,600.84 : 18,883.92 = 5,838.46 : x
  2. Step 2: Convert to fraction form
    12,600.84/18,883.92 = 5,838.46/x
  3. Step 3: Cross multiply
    12,600.84x = 18,883.92 × 5,838.46
  4. Step 4: Simplify right side
    12,600.84x = 110,253,011.56
  5. Step 5: Solve for x
    x = 110,253,011.56/12,600.84
  6. Step 6: Final answer
    x = 8,749.66

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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.