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Finding the Fourth Proportional to 19,557.76, 26,982.64 and 12,847

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Solution

The fourth proportional to 19,557.76, 26,982.64 and 12,847 is: 17,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,557.76 : 26,982.64 = 12,847 : x
  2. Step 2: Convert to fraction form
    19,557.76/26,982.64 = 12,847/x
  3. Step 3: Cross multiply
    19,557.76x = 26,982.64 × 12,847
  4. Step 4: Simplify right side
    19,557.76x = 346,645,911.85
  5. Step 5: Solve for x
    x = 346,645,911.85/19,557.76
  6. Step 6: Final answer
    x = 17,724.21

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