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Finding the Fourth Proportional to 22,852.86, 34,251.93 and 11,764.86

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Solution

The fourth proportional to 22,852.86, 34,251.93 and 11,764.86 is: 17,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.86 : 34,251.93 = 11,764.86 : x
  2. Step 2: Convert to fraction form
    22,852.86/34,251.93 = 11,764.86/x
  3. Step 3: Cross multiply
    22,852.86x = 34,251.93 × 11,764.86
  4. Step 4: Simplify right side
    22,852.86x = 402,969,161.18
  5. Step 5: Solve for x
    x = 402,969,161.18/22,852.86
  6. Step 6: Final answer
    x = 17,633.20

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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.