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Finding the Fourth Proportional to 12,989.79, 19,489.20 and 4,106.46

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Solution

The fourth proportional to 12,989.79, 19,489.20 and 4,106.46 is: 6,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.79 : 19,489.20 = 4,106.46 : x
  2. Step 2: Convert to fraction form
    12,989.79/19,489.20 = 4,106.46/x
  3. Step 3: Cross multiply
    12,989.79x = 19,489.20 × 4,106.46
  4. Step 4: Simplify right side
    12,989.79x = 80,031,620.23
  5. Step 5: Solve for x
    x = 80,031,620.23/12,989.79
  6. Step 6: Final answer
    x = 6,161.12

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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.