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Finding the Fourth Proportional to 16,644.80, 22,968.16 and 9,192.32

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Solution

The fourth proportional to 16,644.80, 22,968.16 and 9,192.32 is: 12,684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,644.80 : 22,968.16 = 9,192.32 : x
  2. Step 2: Convert to fraction form
    16,644.80/22,968.16 = 9,192.32/x
  3. Step 3: Cross multiply
    16,644.80x = 22,968.16 × 9,192.32
  4. Step 4: Simplify right side
    16,644.80x = 211,130,676.53
  5. Step 5: Solve for x
    x = 211,130,676.53/16,644.80
  6. Step 6: Final answer
    x = 12,684.48

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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.