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Finding the Fourth Proportional to 20,494.94, 28,283.54 and 11,542.77

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Solution

The fourth proportional to 20,494.94, 28,283.54 and 11,542.77 is: 15,929.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.94 : 28,283.54 = 11,542.77 : x
  2. Step 2: Convert to fraction form
    20,494.94/28,283.54 = 11,542.77/x
  3. Step 3: Cross multiply
    20,494.94x = 28,283.54 × 11,542.77
  4. Step 4: Simplify right side
    20,494.94x = 326,470,339.29
  5. Step 5: Solve for x
    x = 326,470,339.29/20,494.94
  6. Step 6: Final answer
    x = 15,929.32

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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.