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Finding the Fourth Proportional to 16,647.96, 22,969.62 and 9,573.96

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Solution

The fourth proportional to 16,647.96, 22,969.62 and 9,573.96 is: 13,209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647.96 : 22,969.62 = 9,573.96 : x
  2. Step 2: Convert to fraction form
    16,647.96/22,969.62 = 9,573.96/x
  3. Step 3: Cross multiply
    16,647.96x = 22,969.62 × 9,573.96
  4. Step 4: Simplify right side
    16,647.96x = 219,910,223.10
  5. Step 5: Solve for x
    x = 219,910,223.10/16,647.96
  6. Step 6: Final answer
    x = 13,209.44

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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.