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Finding the Fourth Proportional to 22,878.41, 34,256.25 and 22,165.20

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Solution

The fourth proportional to 22,878.41, 34,256.25 and 22,165.20 is: 33,188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,878.41 : 34,256.25 = 22,165.20 : x
  2. Step 2: Convert to fraction form
    22,878.41/34,256.25 = 22,165.20/x
  3. Step 3: Cross multiply
    22,878.41x = 34,256.25 × 22,165.20
  4. Step 4: Simplify right side
    22,878.41x = 759,296,632.50
  5. Step 5: Solve for x
    x = 759,296,632.50/22,878.41
  6. Step 6: Final answer
    x = 33,188.36

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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.