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Finding the Fourth Proportional to 16,147.02, 22,280.41 and 9,072.07

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Solution

The fourth proportional to 16,147.02, 22,280.41 and 9,072.07 is: 12,518.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.02 : 22,280.41 = 9,072.07 : x
  2. Step 2: Convert to fraction form
    16,147.02/22,280.41 = 9,072.07/x
  3. Step 3: Cross multiply
    16,147.02x = 22,280.41 × 9,072.07
  4. Step 4: Simplify right side
    16,147.02x = 202,129,439.15
  5. Step 5: Solve for x
    x = 202,129,439.15/16,147.02
  6. Step 6: Final answer
    x = 12,518.06

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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.