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Finding the Fourth Proportional to 19,809.81, 29,694.71 and 12,419.46

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Solution

The fourth proportional to 19,809.81, 29,694.71 and 12,419.46 is: 18,616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809.81 : 29,694.71 = 12,419.46 : x
  2. Step 2: Convert to fraction form
    19,809.81/29,694.71 = 12,419.46/x
  3. Step 3: Cross multiply
    19,809.81x = 29,694.71 × 12,419.46
  4. Step 4: Simplify right side
    19,809.81x = 368,792,200.96
  5. Step 5: Solve for x
    x = 368,792,200.96/19,809.81
  6. Step 6: Final answer
    x = 18,616.65

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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.