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Finding the Fourth Proportional to 23,300.16, 32,163.48 and 16,230.48

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Solution

The fourth proportional to 23,300.16, 32,163.48 and 16,230.48 is: 22,404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,300.16 : 32,163.48 = 16,230.48 : x
  2. Step 2: Convert to fraction form
    23,300.16/32,163.48 = 16,230.48/x
  3. Step 3: Cross multiply
    23,300.16x = 32,163.48 × 16,230.48
  4. Step 4: Simplify right side
    23,300.16x = 522,028,718.87
  5. Step 5: Solve for x
    x = 522,028,718.87/23,300.16
  6. Step 6: Final answer
    x = 22,404.51

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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.