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Finding the Fourth Proportional to 16,933.42, 25,409.73 and 9,142.06

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Solution

The fourth proportional to 16,933.42, 25,409.73 and 9,142.06 is: 13,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,933.42 : 25,409.73 = 9,142.06 : x
  2. Step 2: Convert to fraction form
    16,933.42/25,409.73 = 9,142.06/x
  3. Step 3: Cross multiply
    16,933.42x = 25,409.73 × 9,142.06
  4. Step 4: Simplify right side
    16,933.42x = 232,297,276.24
  5. Step 5: Solve for x
    x = 232,297,276.24/16,933.42
  6. Step 6: Final answer
    x = 13,718.27

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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.