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Finding the Fourth Proportional to 19,809.45, 29,694.21 and 12,419.10

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Solution

The fourth proportional to 19,809.45, 29,694.21 and 12,419.10 is: 18,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809.45 : 29,694.21 = 12,419.10 : x
  2. Step 2: Convert to fraction form
    19,809.45/29,694.21 = 12,419.10/x
  3. Step 3: Cross multiply
    19,809.45x = 29,694.21 × 12,419.10
  4. Step 4: Simplify right side
    19,809.45x = 368,775,363.41
  5. Step 5: Solve for x
    x = 368,775,363.41/19,809.45
  6. Step 6: Final answer
    x = 18,616.13

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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.