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Finding the Fourth Proportional to 19,857.15, 27,402.84 and 10,782.45

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Solution

The fourth proportional to 19,857.15, 27,402.84 and 10,782.45 is: 14,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.15 : 27,402.84 = 10,782.45 : x
  2. Step 2: Convert to fraction form
    19,857.15/27,402.84 = 10,782.45/x
  3. Step 3: Cross multiply
    19,857.15x = 27,402.84 × 10,782.45
  4. Step 4: Simplify right side
    19,857.15x = 295,469,752.16
  5. Step 5: Solve for x
    x = 295,469,752.16/19,857.15
  6. Step 6: Final answer
    x = 14,879.77

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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.