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Finding the Fourth Proportional to 15,892.84, 21,932.88 and 8,819.32

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Solution

The fourth proportional to 15,892.84, 21,932.88 and 8,819.32 is: 12,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.84 : 21,932.88 = 8,819.32 : x
  2. Step 2: Convert to fraction form
    15,892.84/21,932.88 = 8,819.32/x
  3. Step 3: Cross multiply
    15,892.84x = 21,932.88 × 8,819.32
  4. Step 4: Simplify right side
    15,892.84x = 193,433,087.24
  5. Step 5: Solve for x
    x = 193,433,087.24/15,892.84
  6. Step 6: Final answer
    x = 12,171.08

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1.5x scale

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.