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Finding the Fourth Proportional to 16,449.26, 24,674.14 and 4,762.52

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Solution

The fourth proportional to 16,449.26, 24,674.14 and 4,762.52 is: 7,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.26 : 24,674.14 = 4,762.52 : x
  2. Step 2: Convert to fraction form
    16,449.26/24,674.14 = 4,762.52/x
  3. Step 3: Cross multiply
    16,449.26x = 24,674.14 × 4,762.52
  4. Step 4: Simplify right side
    16,449.26x = 117,511,085.23
  5. Step 5: Solve for x
    x = 117,511,085.23/16,449.26
  6. Step 6: Final answer
    x = 7,143.85

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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.