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Finding the Fourth Proportional to 16,495.02, 22,758.80 and 9,782.14

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Solution

The fourth proportional to 16,495.02, 22,758.80 and 9,782.14 is: 13,496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,495.02 : 22,758.80 = 9,782.14 : x
  2. Step 2: Convert to fraction form
    16,495.02/22,758.80 = 9,782.14/x
  3. Step 3: Cross multiply
    16,495.02x = 22,758.80 × 9,782.14
  4. Step 4: Simplify right side
    16,495.02x = 222,629,767.83
  5. Step 5: Solve for x
    x = 222,629,767.83/16,495.02
  6. Step 6: Final answer
    x = 13,496.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.