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Finding the Fourth Proportional to 16,803.78, 23,188.86 and 9,249.72

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Solution

The fourth proportional to 16,803.78, 23,188.86 and 9,249.72 is: 12,764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,803.78 : 23,188.86 = 9,249.72 : x
  2. Step 2: Convert to fraction form
    16,803.78/23,188.86 = 9,249.72/x
  3. Step 3: Cross multiply
    16,803.78x = 23,188.86 × 9,249.72
  4. Step 4: Simplify right side
    16,803.78x = 214,490,462.12
  5. Step 5: Solve for x
    x = 214,490,462.12/16,803.78
  6. Step 6: Final answer
    x = 12,764.42

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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.