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Finding the Fourth Proportional to 15,842.22, 21,859.96 and 8,768.62

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Solution

The fourth proportional to 15,842.22, 21,859.96 and 8,768.62 is: 12,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.22 : 21,859.96 = 8,768.62 : x
  2. Step 2: Convert to fraction form
    15,842.22/21,859.96 = 8,768.62/x
  3. Step 3: Cross multiply
    15,842.22x = 21,859.96 × 8,768.62
  4. Step 4: Simplify right side
    15,842.22x = 191,681,682.46
  5. Step 5: Solve for x
    x = 191,681,682.46/15,842.22
  6. Step 6: Final answer
    x = 12,099.42

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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.