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Finding the Fourth Proportional to 16,466.87, 24,705.86 and 5,224.05

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Solution

The fourth proportional to 16,466.87, 24,705.86 and 5,224.05 is: 7,837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466.87 : 24,705.86 = 5,224.05 : x
  2. Step 2: Convert to fraction form
    16,466.87/24,705.86 = 5,224.05/x
  3. Step 3: Cross multiply
    16,466.87x = 24,705.86 × 5,224.05
  4. Step 4: Simplify right side
    16,466.87x = 129,064,621.81
  5. Step 5: Solve for x
    x = 129,064,621.81/16,466.87
  6. Step 6: Final answer
    x = 7,837.84

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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.