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Finding the Fourth Proportional to 22,236.84, 30,686.38 and 12,165.26

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Solution

The fourth proportional to 22,236.84, 30,686.38 and 12,165.26 is: 16,787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,236.84 : 30,686.38 = 12,165.26 : x
  2. Step 2: Convert to fraction form
    22,236.84/30,686.38 = 12,165.26/x
  3. Step 3: Cross multiply
    22,236.84x = 30,686.38 × 12,165.26
  4. Step 4: Simplify right side
    22,236.84x = 373,307,607.31
  5. Step 5: Solve for x
    x = 373,307,607.31/22,236.84
  6. Step 6: Final answer
    x = 16,787.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.