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Finding the Fourth Proportional to 20,856.86, 28,782.50 and 11,296.77

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Solution

The fourth proportional to 20,856.86, 28,782.50 and 11,296.77 is: 15,589.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,856.86 : 28,782.50 = 11,296.77 : x
  2. Step 2: Convert to fraction form
    20,856.86/28,782.50 = 11,296.77/x
  3. Step 3: Cross multiply
    20,856.86x = 28,782.50 × 11,296.77
  4. Step 4: Simplify right side
    20,856.86x = 325,149,118.11
  5. Step 5: Solve for x
    x = 325,149,118.11/20,856.86
  6. Step 6: Final answer
    x = 15,589.55

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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.