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Finding the Fourth Proportional to 24,942.29, 34,409.49 and 16,433.49

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Solution

The fourth proportional to 24,942.29, 34,409.49 and 16,433.49 is: 22,671.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,942.29 : 34,409.49 = 16,433.49 : x
  2. Step 2: Convert to fraction form
    24,942.29/34,409.49 = 16,433.49/x
  3. Step 3: Cross multiply
    24,942.29x = 34,409.49 × 16,433.49
  4. Step 4: Simplify right side
    24,942.29x = 565,468,009.82
  5. Step 5: Solve for x
    x = 565,468,009.82/24,942.29
  6. Step 6: Final answer
    x = 22,671.06

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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.