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Finding the Fourth Proportional to 16,210.94, 22,372.47 and 9,138.83

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Solution

The fourth proportional to 16,210.94, 22,372.47 and 9,138.83 is: 12,612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,210.94 : 22,372.47 = 9,138.83 : x
  2. Step 2: Convert to fraction form
    16,210.94/22,372.47 = 9,138.83/x
  3. Step 3: Cross multiply
    16,210.94x = 22,372.47 × 9,138.83
  4. Step 4: Simplify right side
    16,210.94x = 204,458,088.15
  5. Step 5: Solve for x
    x = 204,458,088.15/16,210.94
  6. Step 6: Final answer
    x = 12,612.36

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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.