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Finding the Fourth Proportional to 12,022.83, 16,574.83 and 10,361.93

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Solution

The fourth proportional to 12,022.83, 16,574.83 and 10,361.93 is: 14,285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.83 : 16,574.83 = 10,361.93 : x
  2. Step 2: Convert to fraction form
    12,022.83/16,574.83 = 10,361.93/x
  3. Step 3: Cross multiply
    12,022.83x = 16,574.83 × 10,361.93
  4. Step 4: Simplify right side
    12,022.83x = 171,747,119.44
  5. Step 5: Solve for x
    x = 171,747,119.44/12,022.83
  6. Step 6: Final answer
    x = 14,285.08

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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.