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Finding the Fourth Proportional to 16,294.36, 22,486.22 and 8,842.36

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Solution

The fourth proportional to 16,294.36, 22,486.22 and 8,842.36 is: 12,202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.36 : 22,486.22 = 8,842.36 : x
  2. Step 2: Convert to fraction form
    16,294.36/22,486.22 = 8,842.36/x
  3. Step 3: Cross multiply
    16,294.36x = 22,486.22 × 8,842.36
  4. Step 4: Simplify right side
    16,294.36x = 198,831,202.30
  5. Step 5: Solve for x
    x = 198,831,202.30/16,294.36
  6. Step 6: Final answer
    x = 12,202.46

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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.