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Finding the Fourth Proportional to 24,856.25, 37,284.17 and 7,325.82

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Solution

The fourth proportional to 24,856.25, 37,284.17 and 7,325.82 is: 10,988.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,856.25 : 37,284.17 = 7,325.82 : x
  2. Step 2: Convert to fraction form
    24,856.25/37,284.17 = 7,325.82/x
  3. Step 3: Cross multiply
    24,856.25x = 37,284.17 × 7,325.82
  4. Step 4: Simplify right side
    24,856.25x = 273,137,081.64
  5. Step 5: Solve for x
    x = 273,137,081.64/24,856.25
  6. Step 6: Final answer
    x = 10,988.67

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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.