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Finding the Fourth Proportional to 24,786, 34,233.84 and 16,814.39

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Solution

The fourth proportional to 24,786, 34,233.84 and 16,814.39 is: 23,223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,786 : 34,233.84 = 16,814.39 : x
  2. Step 2: Convert to fraction form
    24,786/34,233.84 = 16,814.39/x
  3. Step 3: Cross multiply
    24,786x = 34,233.84 × 16,814.39
  4. Step 4: Simplify right side
    24,786x = 575,620,965.79
  5. Step 5: Solve for x
    x = 575,620,965.79/24,786
  6. Step 6: Final answer
    x = 23,223.63

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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.