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Finding the Fourth Proportional to 16,298.94, 22,478.67 and 10,986.78

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Solution

The fourth proportional to 16,298.94, 22,478.67 and 10,986.78 is: 15,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.94 : 22,478.67 = 10,986.78 : x
  2. Step 2: Convert to fraction form
    16,298.94/22,478.67 = 10,986.78/x
  3. Step 3: Cross multiply
    16,298.94x = 22,478.67 × 10,986.78
  4. Step 4: Simplify right side
    16,298.94x = 246,968,201.98
  5. Step 5: Solve for x
    x = 246,968,201.98/16,298.94
  6. Step 6: Final answer
    x = 15,152.41

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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.