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Finding the Fourth Proportional to 15,546.64, 21,454.38 and 8,473.07

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Solution

The fourth proportional to 15,546.64, 21,454.38 and 8,473.07 is: 11,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,546.64 : 21,454.38 = 8,473.07 : x
  2. Step 2: Convert to fraction form
    15,546.64/21,454.38 = 8,473.07/x
  3. Step 3: Cross multiply
    15,546.64x = 21,454.38 × 8,473.07
  4. Step 4: Simplify right side
    15,546.64x = 181,784,313.91
  5. Step 5: Solve for x
    x = 181,784,313.91/15,546.64
  6. Step 6: Final answer
    x = 11,692.84

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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.