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Finding the Fourth Proportional to 24,919.57, 37,386.57 and 7,389.82

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Solution

The fourth proportional to 24,919.57, 37,386.57 and 7,389.82 is: 11,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,919.57 : 37,386.57 = 7,389.82 : x
  2. Step 2: Convert to fraction form
    24,919.57/37,386.57 = 7,389.82/x
  3. Step 3: Cross multiply
    24,919.57x = 37,386.57 × 7,389.82
  4. Step 4: Simplify right side
    24,919.57x = 276,280,022.72
  5. Step 5: Solve for x
    x = 276,280,022.72/24,919.57
  6. Step 6: Final answer
    x = 11,086.87

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Why These Related Problems?

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