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Finding the Fourth Proportional to 27,584, 41,384.16 and 15,905.60

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Solution

The fourth proportional to 27,584, 41,384.16 and 15,905.60 is: 23,863.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584 : 41,384.16 = 15,905.60 : x
  2. Step 2: Convert to fraction form
    27,584/41,384.16 = 15,905.60/x
  3. Step 3: Cross multiply
    27,584x = 41,384.16 × 15,905.60
  4. Step 4: Simplify right side
    27,584x = 658,239,895.30
  5. Step 5: Solve for x
    x = 658,239,895.30/27,584
  6. Step 6: Final answer
    x = 23,863.11

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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.