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Finding the Fourth Proportional to 22,955.63, 34,435.89 and 8,165.93

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Solution

The fourth proportional to 22,955.63, 34,435.89 and 8,165.93 is: 12,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,955.63 : 34,435.89 = 8,165.93 : x
  2. Step 2: Convert to fraction form
    22,955.63/34,435.89 = 8,165.93/x
  3. Step 3: Cross multiply
    22,955.63x = 34,435.89 × 8,165.93
  4. Step 4: Simplify right side
    22,955.63x = 281,201,067.23
  5. Step 5: Solve for x
    x = 281,201,067.23/22,955.63
  6. Step 6: Final answer
    x = 12,249.76

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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.