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Finding the Fourth Proportional to 24,715.52, 37,076.16 and 8,076.80

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Solution

The fourth proportional to 24,715.52, 37,076.16 and 8,076.80 is: 12,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,715.52 : 37,076.16 = 8,076.80 : x
  2. Step 2: Convert to fraction form
    24,715.52/37,076.16 = 8,076.80/x
  3. Step 3: Cross multiply
    24,715.52x = 37,076.16 × 8,076.80
  4. Step 4: Simplify right side
    24,715.52x = 299,456,729.09
  5. Step 5: Solve for x
    x = 299,456,729.09/24,715.52
  6. Step 6: Final answer
    x = 12,116.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.