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Finding the Fourth Proportional to 22,788, 34,180.92 and 7,203.60

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Solution

The fourth proportional to 22,788, 34,180.92 and 7,203.60 is: 10,805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,788 : 34,180.92 = 7,203.60 : x
  2. Step 2: Convert to fraction form
    22,788/34,180.92 = 7,203.60/x
  3. Step 3: Cross multiply
    22,788x = 34,180.92 × 7,203.60
  4. Step 4: Simplify right side
    22,788x = 246,225,675.31
  5. Step 5: Solve for x
    x = 246,225,675.31/22,788
  6. Step 6: Final answer
    x = 10,805.06

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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.