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Finding the Fourth Proportional to 23,203.80, 34,857.54 and 22,329

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Solution

The fourth proportional to 23,203.80, 34,857.54 and 22,329 is: 33,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.80 : 34,857.54 = 22,329 : x
  2. Step 2: Convert to fraction form
    23,203.80/34,857.54 = 22,329/x
  3. Step 3: Cross multiply
    23,203.80x = 34,857.54 × 22,329
  4. Step 4: Simplify right side
    23,203.80x = 778,334,010.66
  5. Step 5: Solve for x
    x = 778,334,010.66/23,203.80
  6. Step 6: Final answer
    x = 33,543.39

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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.