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Finding the Fourth Proportional to 25,276.46, 37,919.53 and 7,746.44

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Solution

The fourth proportional to 25,276.46, 37,919.53 and 7,746.44 is: 11,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,276.46 : 37,919.53 = 7,746.44 : x
  2. Step 2: Convert to fraction form
    25,276.46/37,919.53 = 7,746.44/x
  3. Step 3: Cross multiply
    25,276.46x = 37,919.53 × 7,746.44
  4. Step 4: Simplify right side
    25,276.46x = 293,741,363.97
  5. Step 5: Solve for x
    x = 293,741,363.97/25,276.46
  6. Step 6: Final answer
    x = 11,621.14

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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.