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Finding the Fourth Proportional to 24,518.64, 36,778.04 and 6,749.54

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Solution

The fourth proportional to 24,518.64, 36,778.04 and 6,749.54 is: 10,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,518.64 : 36,778.04 = 6,749.54 : x
  2. Step 2: Convert to fraction form
    24,518.64/36,778.04 = 6,749.54/x
  3. Step 3: Cross multiply
    24,518.64x = 36,778.04 × 6,749.54
  4. Step 4: Simplify right side
    24,518.64x = 248,234,634.46
  5. Step 5: Solve for x
    x = 248,234,634.46/24,518.64
  6. Step 6: Final answer
    x = 10,124.32

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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.