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Finding the Fourth Proportional to 16,014.24, 22,101.52 and 8,941.60

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Solution

The fourth proportional to 16,014.24, 22,101.52 and 8,941.60 is: 12,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014.24 : 22,101.52 = 8,941.60 : x
  2. Step 2: Convert to fraction form
    16,014.24/22,101.52 = 8,941.60/x
  3. Step 3: Cross multiply
    16,014.24x = 22,101.52 × 8,941.60
  4. Step 4: Simplify right side
    16,014.24x = 197,622,951.23
  5. Step 5: Solve for x
    x = 197,622,951.23/16,014.24
  6. Step 6: Final answer
    x = 12,340.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.