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Finding the Fourth Proportional to 24,868.98, 37,299.33 and 7,334.64

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Solution

The fourth proportional to 24,868.98, 37,299.33 and 7,334.64 is: 11,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,868.98 : 37,299.33 = 7,334.64 : x
  2. Step 2: Convert to fraction form
    24,868.98/37,299.33 = 7,334.64/x
  3. Step 3: Cross multiply
    24,868.98x = 37,299.33 × 7,334.64
  4. Step 4: Simplify right side
    24,868.98x = 273,577,157.79
  5. Step 5: Solve for x
    x = 273,577,157.79/24,868.98
  6. Step 6: Final answer
    x = 11,000.74

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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.