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Finding the Fourth Proportional to 16,448.25, 22,699.13 and 8,996.25

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Solution

The fourth proportional to 16,448.25, 22,699.13 and 8,996.25 is: 12,415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448.25 : 22,699.13 = 8,996.25 : x
  2. Step 2: Convert to fraction form
    16,448.25/22,699.13 = 8,996.25/x
  3. Step 3: Cross multiply
    16,448.25x = 22,699.13 × 8,996.25
  4. Step 4: Simplify right side
    16,448.25x = 204,207,003.28
  5. Step 5: Solve for x
    x = 204,207,003.28/16,448.25
  6. Step 6: Final answer
    x = 12,415.12

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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.