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Finding the Fourth Proportional to 22,827.50, 34,241.36 and 6,187.39

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Solution

The fourth proportional to 22,827.50, 34,241.36 and 6,187.39 is: 9,281.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,827.50 : 34,241.36 = 6,187.39 : x
  2. Step 2: Convert to fraction form
    22,827.50/34,241.36 = 6,187.39/x
  3. Step 3: Cross multiply
    22,827.50x = 34,241.36 × 6,187.39
  4. Step 4: Simplify right side
    22,827.50x = 211,864,549.31
  5. Step 5: Solve for x
    x = 211,864,549.31/22,827.50
  6. Step 6: Final answer
    x = 9,281.11

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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.