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Finding the Fourth Proportional to 24,760.88, 37,137.34 and 7,226.60

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Solution

The fourth proportional to 24,760.88, 37,137.34 and 7,226.60 is: 10,838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,760.88 : 37,137.34 = 7,226.60 : x
  2. Step 2: Convert to fraction form
    24,760.88/37,137.34 = 7,226.60/x
  3. Step 3: Cross multiply
    24,760.88x = 37,137.34 × 7,226.60
  4. Step 4: Simplify right side
    24,760.88x = 268,376,701.24
  5. Step 5: Solve for x
    x = 268,376,701.24/24,760.88
  6. Step 6: Final answer
    x = 10,838.74

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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.