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Finding the Fourth Proportional to 24,887.27, 37,334.96 and 7,358.87

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Solution

The fourth proportional to 24,887.27, 37,334.96 and 7,358.87 is: 11,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,887.27 : 37,334.96 = 7,358.87 : x
  2. Step 2: Convert to fraction form
    24,887.27/37,334.96 = 7,358.87/x
  3. Step 3: Cross multiply
    24,887.27x = 37,334.96 × 7,358.87
  4. Step 4: Simplify right side
    24,887.27x = 274,743,117.10
  5. Step 5: Solve for x
    x = 274,743,117.10/24,887.27
  6. Step 6: Final answer
    x = 11,039.50

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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.