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Finding the Fourth Proportional to 12,694.40, 19,063.20 and 9,411.20

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Solution

The fourth proportional to 12,694.40, 19,063.20 and 9,411.20 is: 14,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.40 : 19,063.20 = 9,411.20 : x
  2. Step 2: Convert to fraction form
    12,694.40/19,063.20 = 9,411.20/x
  3. Step 3: Cross multiply
    12,694.40x = 19,063.20 × 9,411.20
  4. Step 4: Simplify right side
    12,694.40x = 179,407,587.84
  5. Step 5: Solve for x
    x = 179,407,587.84/12,694.40
  6. Step 6: Final answer
    x = 14,132.81

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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.