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Finding the Fourth Proportional to 22,660.04, 34,007.08 and 11,576

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Solution

The fourth proportional to 22,660.04, 34,007.08 and 11,576 is: 17,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,660.04 : 34,007.08 = 11,576 : x
  2. Step 2: Convert to fraction form
    22,660.04/34,007.08 = 11,576/x
  3. Step 3: Cross multiply
    22,660.04x = 34,007.08 × 11,576
  4. Step 4: Simplify right side
    22,660.04x = 393,665,958.08
  5. Step 5: Solve for x
    x = 393,665,958.08/22,660.04
  6. Step 6: Final answer
    x = 17,372.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.