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Finding the Fourth Proportional to 16,013.57, 22,097.41 and 9,297.05

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Solution

The fourth proportional to 16,013.57, 22,097.41 and 9,297.05 is: 12,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013.57 : 22,097.41 = 9,297.05 : x
  2. Step 2: Convert to fraction form
    16,013.57/22,097.41 = 9,297.05/x
  3. Step 3: Cross multiply
    16,013.57x = 22,097.41 × 9,297.05
  4. Step 4: Simplify right side
    16,013.57x = 205,440,591.91
  5. Step 5: Solve for x
    x = 205,440,591.91/16,013.57
  6. Step 6: Final answer
    x = 12,829.16

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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.