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Finding the Fourth Proportional to 24,257.93, 36,371.95 and 9,449.60

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Solution

The fourth proportional to 24,257.93, 36,371.95 and 9,449.60 is: 14,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.93 : 36,371.95 = 9,449.60 : x
  2. Step 2: Convert to fraction form
    24,257.93/36,371.95 = 9,449.60/x
  3. Step 3: Cross multiply
    24,257.93x = 36,371.95 × 9,449.60
  4. Step 4: Simplify right side
    24,257.93x = 343,700,173.24
  5. Step 5: Solve for x
    x = 343,700,173.24/24,257.93
  6. Step 6: Final answer
    x = 14,168.57

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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.