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Finding the Fourth Proportional to 16,397.12, 22,628.06 and 8,945.12

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Solution

The fourth proportional to 16,397.12, 22,628.06 and 8,945.12 is: 12,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397.12 : 22,628.06 = 8,945.12 : x
  2. Step 2: Convert to fraction form
    16,397.12/22,628.06 = 8,945.12/x
  3. Step 3: Cross multiply
    16,397.12x = 22,628.06 × 8,945.12
  4. Step 4: Simplify right side
    16,397.12x = 202,410,712.07
  5. Step 5: Solve for x
    x = 202,410,712.07/16,397.12
  6. Step 6: Final answer
    x = 12,344.28

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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.