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Finding the Fourth Proportional to 20,856.84, 28,782.81 and 11,424.79

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Solution

The fourth proportional to 20,856.84, 28,782.81 and 11,424.79 is: 15,766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,856.84 : 28,782.81 = 11,424.79 : x
  2. Step 2: Convert to fraction form
    20,856.84/28,782.81 = 11,424.79/x
  3. Step 3: Cross multiply
    20,856.84x = 28,782.81 × 11,424.79
  4. Step 4: Simplify right side
    20,856.84x = 328,837,559.86
  5. Step 5: Solve for x
    x = 328,837,559.86/20,856.84
  6. Step 6: Final answer
    x = 15,766.41

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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.