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Finding the Fourth Proportional to 16,344.58, 24,516.75 and 4,657.78

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Solution

The fourth proportional to 16,344.58, 24,516.75 and 4,657.78 is: 6,986.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.58 : 24,516.75 = 4,657.78 : x
  2. Step 2: Convert to fraction form
    16,344.58/24,516.75 = 4,657.78/x
  3. Step 3: Cross multiply
    16,344.58x = 24,516.75 × 4,657.78
  4. Step 4: Simplify right side
    16,344.58x = 114,193,627.82
  5. Step 5: Solve for x
    x = 114,193,627.82/16,344.58
  6. Step 6: Final answer
    x = 6,986.64

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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.