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Finding the Fourth Proportional to 16,180.66, 22,328.94 and 9,107.02

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Solution

The fourth proportional to 16,180.66, 22,328.94 and 9,107.02 is: 12,567.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.66 : 22,328.94 = 9,107.02 : x
  2. Step 2: Convert to fraction form
    16,180.66/22,328.94 = 9,107.02/x
  3. Step 3: Cross multiply
    16,180.66x = 22,328.94 × 9,107.02
  4. Step 4: Simplify right side
    16,180.66x = 203,350,103.16
  5. Step 5: Solve for x
    x = 203,350,103.16/16,180.66
  6. Step 6: Final answer
    x = 12,567.48

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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.