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Finding the Fourth Proportional to 19,557.89, 26,982.81 and 12,847.13

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Solution

The fourth proportional to 19,557.89, 26,982.81 and 12,847.13 is: 17,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,557.89 : 26,982.81 = 12,847.13 : x
  2. Step 2: Convert to fraction form
    19,557.89/26,982.81 = 12,847.13/x
  3. Step 3: Cross multiply
    19,557.89x = 26,982.81 × 12,847.13
  4. Step 4: Simplify right side
    19,557.89x = 346,651,532.92
  5. Step 5: Solve for x
    x = 346,651,532.92/19,557.89
  6. Step 6: Final answer
    x = 17,724.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.