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Finding the Fourth Proportional to 19,856.53, 27,402.50 and 10,782.27

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Solution

The fourth proportional to 19,856.53, 27,402.50 and 10,782.27 is: 14,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856.53 : 27,402.50 = 10,782.27 : x
  2. Step 2: Convert to fraction form
    19,856.53/27,402.50 = 10,782.27/x
  3. Step 3: Cross multiply
    19,856.53x = 27,402.50 × 10,782.27
  4. Step 4: Simplify right side
    19,856.53x = 295,461,180.63
  5. Step 5: Solve for x
    x = 295,461,180.63/19,856.53
  6. Step 6: Final answer
    x = 14,879.80

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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.