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Finding the Fourth Proportional to 24,102.98, 36,157.91 and 7,464.50

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Solution

The fourth proportional to 24,102.98, 36,157.91 and 7,464.50 is: 11,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102.98 : 36,157.91 = 7,464.50 : x
  2. Step 2: Convert to fraction form
    24,102.98/36,157.91 = 7,464.50/x
  3. Step 3: Cross multiply
    24,102.98x = 36,157.91 × 7,464.50
  4. Step 4: Simplify right side
    24,102.98x = 269,900,719.20
  5. Step 5: Solve for x
    x = 269,900,719.20/24,102.98
  6. Step 6: Final answer
    x = 11,197.82

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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.