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Finding the Fourth Proportional to 19,404.92, 29,107.38 and 9,011

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Solution

The fourth proportional to 19,404.92, 29,107.38 and 9,011 is: 13,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,404.92 : 29,107.38 = 9,011 : x
  2. Step 2: Convert to fraction form
    19,404.92/29,107.38 = 9,011/x
  3. Step 3: Cross multiply
    19,404.92x = 29,107.38 × 9,011
  4. Step 4: Simplify right side
    19,404.92x = 262,286,601.18
  5. Step 5: Solve for x
    x = 262,286,601.18/19,404.92
  6. Step 6: Final answer
    x = 13,516.50

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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.