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Finding the Fourth Proportional to 16,160.91, 22,313.10 and 12,377.40

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Solution

The fourth proportional to 16,160.91, 22,313.10 and 12,377.40 is: 17,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,160.91 : 22,313.10 = 12,377.40 : x
  2. Step 2: Convert to fraction form
    16,160.91/22,313.10 = 12,377.40/x
  3. Step 3: Cross multiply
    16,160.91x = 22,313.10 × 12,377.40
  4. Step 4: Simplify right side
    16,160.91x = 276,178,163.94
  5. Step 5: Solve for x
    x = 276,178,163.94/16,160.91
  6. Step 6: Final answer
    x = 17,089.27

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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.