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Finding the Fourth Proportional to 24,557.85, 36,836.76 and 7,027.67

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Solution

The fourth proportional to 24,557.85, 36,836.76 and 7,027.67 is: 10,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,557.85 : 36,836.76 = 7,027.67 : x
  2. Step 2: Convert to fraction form
    24,557.85/36,836.76 = 7,027.67/x
  3. Step 3: Cross multiply
    24,557.85x = 36,836.76 × 7,027.67
  4. Step 4: Simplify right side
    24,557.85x = 258,876,593.15
  5. Step 5: Solve for x
    x = 258,876,593.15/24,557.85
  6. Step 6: Final answer
    x = 10,541.50

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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.