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Finding the Fourth Proportional to 20,856.57, 28,782.49 and 11,425.13

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Solution

The fourth proportional to 20,856.57, 28,782.49 and 11,425.13 is: 15,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,856.57 : 28,782.49 = 11,425.13 : x
  2. Step 2: Convert to fraction form
    20,856.57/28,782.49 = 11,425.13/x
  3. Step 3: Cross multiply
    20,856.57x = 28,782.49 × 11,425.13
  4. Step 4: Simplify right side
    20,856.57x = 328,843,733.37
  5. Step 5: Solve for x
    x = 328,843,733.37/20,856.57
  6. Step 6: Final answer
    x = 15,766.91

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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.