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Finding the Fourth Proportional to 16,652.52, 22,980.46 and 9,200.52

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Solution

The fourth proportional to 16,652.52, 22,980.46 and 9,200.52 is: 12,696.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,652.52 : 22,980.46 = 9,200.52 : x
  2. Step 2: Convert to fraction form
    16,652.52/22,980.46 = 9,200.52/x
  3. Step 3: Cross multiply
    16,652.52x = 22,980.46 × 9,200.52
  4. Step 4: Simplify right side
    16,652.52x = 211,432,181.84
  5. Step 5: Solve for x
    x = 211,432,181.84/16,652.52
  6. Step 6: Final answer
    x = 12,696.71

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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.