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Finding the Fourth Proportional to 16,569.79, 22,857.60 and 9,850.64

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Solution

The fourth proportional to 16,569.79, 22,857.60 and 9,850.64 is: 13,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569.79 : 22,857.60 = 9,850.64 : x
  2. Step 2: Convert to fraction form
    16,569.79/22,857.60 = 9,850.64/x
  3. Step 3: Cross multiply
    16,569.79x = 22,857.60 × 9,850.64
  4. Step 4: Simplify right side
    16,569.79x = 225,162,012.38
  5. Step 5: Solve for x
    x = 225,162,012.38/16,569.79
  6. Step 6: Final answer
    x = 13,588.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.