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Finding the Fourth Proportional to 13,196.80, 19,838.40 and 12,419.20

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Solution

The fourth proportional to 13,196.80, 19,838.40 and 12,419.20 is: 18,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.80 : 19,838.40 = 12,419.20 : x
  2. Step 2: Convert to fraction form
    13,196.80/19,838.40 = 12,419.20/x
  3. Step 3: Cross multiply
    13,196.80x = 19,838.40 × 12,419.20
  4. Step 4: Simplify right side
    13,196.80x = 246,377,057.28
  5. Step 5: Solve for x
    x = 246,377,057.28/13,196.80
  6. Step 6: Final answer
    x = 18,669.45

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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.