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Finding the Fourth Proportional to 16,493.32, 24,739.26 and 4,807

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Solution

The fourth proportional to 16,493.32, 24,739.26 and 4,807 is: 7,210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493.32 : 24,739.26 = 4,807 : x
  2. Step 2: Convert to fraction form
    16,493.32/24,739.26 = 4,807/x
  3. Step 3: Cross multiply
    16,493.32x = 24,739.26 × 4,807
  4. Step 4: Simplify right side
    16,493.32x = 118,921,622.82
  5. Step 5: Solve for x
    x = 118,921,622.82/16,493.32
  6. Step 6: Final answer
    x = 7,210.29

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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.