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Finding the Fourth Proportional to 34,384.34, 51,584.07 and 11,013.14

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Solution

The fourth proportional to 34,384.34, 51,584.07 and 11,013.14 is: 16,522.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,384.34 : 51,584.07 = 11,013.14 : x
  2. Step 2: Convert to fraction form
    34,384.34/51,584.07 = 11,013.14/x
  3. Step 3: Cross multiply
    34,384.34x = 51,584.07 × 11,013.14
  4. Step 4: Simplify right side
    34,384.34x = 568,102,584.68
  5. Step 5: Solve for x
    x = 568,102,584.68/34,384.34
  6. Step 6: Final answer
    x = 16,522.13

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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.