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Finding the Fourth Proportional to 12,889.46, 19,334.58 and 6,133.56

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Solution

The fourth proportional to 12,889.46, 19,334.58 and 6,133.56 is: 9,200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.46 : 19,334.58 = 6,133.56 : x
  2. Step 2: Convert to fraction form
    12,889.46/19,334.58 = 6,133.56/x
  3. Step 3: Cross multiply
    12,889.46x = 19,334.58 × 6,133.56
  4. Step 4: Simplify right side
    12,889.46x = 118,589,806.50
  5. Step 5: Solve for x
    x = 118,589,806.50/12,889.46
  6. Step 6: Final answer
    x = 9,200.53

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Why These Related Problems?

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