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Finding the Fourth Proportional to 22,852.82, 34,208.16 and 20,914.94

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Solution

The fourth proportional to 22,852.82, 34,208.16 and 20,914.94 is: 31,307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.82 : 34,208.16 = 20,914.94 : x
  2. Step 2: Convert to fraction form
    22,852.82/34,208.16 = 20,914.94/x
  3. Step 3: Cross multiply
    22,852.82x = 34,208.16 × 20,914.94
  4. Step 4: Simplify right side
    22,852.82x = 715,461,613.91
  5. Step 5: Solve for x
    x = 715,461,613.91/22,852.82
  6. Step 6: Final answer
    x = 31,307.37

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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.