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Finding the Fourth Proportional to 16,803.12, 25,186.86 and 8,019.48

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Solution

The fourth proportional to 16,803.12, 25,186.86 and 8,019.48 is: 12,020.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,803.12 : 25,186.86 = 8,019.48 : x
  2. Step 2: Convert to fraction form
    16,803.12/25,186.86 = 8,019.48/x
  3. Step 3: Cross multiply
    16,803.12x = 25,186.86 × 8,019.48
  4. Step 4: Simplify right side
    16,803.12x = 201,985,520.03
  5. Step 5: Solve for x
    x = 201,985,520.03/16,803.12
  6. Step 6: Final answer
    x = 12,020.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.