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Finding the Fourth Proportional to 16,681.92, 23,020.96 and 9,608.32

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Solution

The fourth proportional to 16,681.92, 23,020.96 and 9,608.32 is: 13,259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,681.92 : 23,020.96 = 9,608.32 : x
  2. Step 2: Convert to fraction form
    16,681.92/23,020.96 = 9,608.32/x
  3. Step 3: Cross multiply
    16,681.92x = 23,020.96 × 9,608.32
  4. Step 4: Simplify right side
    16,681.92x = 221,192,750.39
  5. Step 5: Solve for x
    x = 221,192,750.39/16,681.92
  6. Step 6: Final answer
    x = 13,259.43

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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.