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Finding the Fourth Proportional to 24,967.42, 37,449.86 and 9,171.24

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Solution

The fourth proportional to 24,967.42, 37,449.86 and 9,171.24 is: 13,756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,967.42 : 37,449.86 = 9,171.24 : x
  2. Step 2: Convert to fraction form
    24,967.42/37,449.86 = 9,171.24/x
  3. Step 3: Cross multiply
    24,967.42x = 37,449.86 × 9,171.24
  4. Step 4: Simplify right side
    24,967.42x = 343,461,729.98
  5. Step 5: Solve for x
    x = 343,461,729.98/24,967.42
  6. Step 6: Final answer
    x = 13,756.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.