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Finding the Fourth Proportional to 16,453.26, 24,675.81 and 6,460.05

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Solution

The fourth proportional to 16,453.26, 24,675.81 and 6,460.05 is: 9,688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,453.26 : 24,675.81 = 6,460.05 : x
  2. Step 2: Convert to fraction form
    16,453.26/24,675.81 = 6,460.05/x
  3. Step 3: Cross multiply
    16,453.26x = 24,675.81 × 6,460.05
  4. Step 4: Simplify right side
    16,453.26x = 159,407,034.70
  5. Step 5: Solve for x
    x = 159,407,034.70/16,453.26
  6. Step 6: Final answer
    x = 9,688.48

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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.