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Finding the Fourth Proportional to 24,180.54, 33,384.62 and 19,715

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Solution

The fourth proportional to 24,180.54, 33,384.62 and 19,715 is: 27,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,180.54 : 33,384.62 = 19,715 : x
  2. Step 2: Convert to fraction form
    24,180.54/33,384.62 = 19,715/x
  3. Step 3: Cross multiply
    24,180.54x = 33,384.62 × 19,715
  4. Step 4: Simplify right side
    24,180.54x = 658,177,783.30
  5. Step 5: Solve for x
    x = 658,177,783.30/24,180.54
  6. Step 6: Final answer
    x = 27,219.32

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