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Finding the Fourth Proportional to 22,269.60, 30,732.08 and 12,333.60

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Solution

The fourth proportional to 22,269.60, 30,732.08 and 12,333.60 is: 17,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,269.60 : 30,732.08 = 12,333.60 : x
  2. Step 2: Convert to fraction form
    22,269.60/30,732.08 = 12,333.60/x
  3. Step 3: Cross multiply
    22,269.60x = 30,732.08 × 12,333.60
  4. Step 4: Simplify right side
    22,269.60x = 379,037,181.89
  5. Step 5: Solve for x
    x = 379,037,181.89/22,269.60
  6. Step 6: Final answer
    x = 17,020.39

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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.