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Finding the Fourth Proportional to 16,886.38, 25,334.46 and 5,201.32

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Solution

The fourth proportional to 16,886.38, 25,334.46 and 5,201.32 is: 7,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,886.38 : 25,334.46 = 5,201.32 : x
  2. Step 2: Convert to fraction form
    16,886.38/25,334.46 = 5,201.32/x
  3. Step 3: Cross multiply
    16,886.38x = 25,334.46 × 5,201.32
  4. Step 4: Simplify right side
    16,886.38x = 131,772,633.49
  5. Step 5: Solve for x
    x = 131,772,633.49/16,886.38
  6. Step 6: Final answer
    x = 7,803.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.