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Finding the Fourth Proportional to 16,297.13, 24,450.63 and 6,814.06

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Solution

The fourth proportional to 16,297.13, 24,450.63 and 6,814.06 is: 10,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.13 : 24,450.63 = 6,814.06 : x
  2. Step 2: Convert to fraction form
    16,297.13/24,450.63 = 6,814.06/x
  3. Step 3: Cross multiply
    16,297.13x = 24,450.63 × 6,814.06
  4. Step 4: Simplify right side
    16,297.13x = 166,607,973.18
  5. Step 5: Solve for x
    x = 166,607,973.18/16,297.13
  6. Step 6: Final answer
    x = 10,223.15

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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.