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Finding the Fourth Proportional to 16,170.77, 22,313.85 and 9,097.04

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Solution

The fourth proportional to 16,170.77, 22,313.85 and 9,097.04 is: 12,552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,170.77 : 22,313.85 = 9,097.04 : x
  2. Step 2: Convert to fraction form
    16,170.77/22,313.85 = 9,097.04/x
  3. Step 3: Cross multiply
    16,170.77x = 22,313.85 × 9,097.04
  4. Step 4: Simplify right side
    16,170.77x = 202,989,874.43
  5. Step 5: Solve for x
    x = 202,989,874.43/16,170.77
  6. Step 6: Final answer
    x = 12,552.89

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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.