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Finding the Fourth Proportional to 19,706.94, 29,534.49 and 8,013.78

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Solution

The fourth proportional to 19,706.94, 29,534.49 and 8,013.78 is: 12,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.94 : 29,534.49 = 8,013.78 : x
  2. Step 2: Convert to fraction form
    19,706.94/29,534.49 = 8,013.78/x
  3. Step 3: Cross multiply
    19,706.94x = 29,534.49 × 8,013.78
  4. Step 4: Simplify right side
    19,706.94x = 236,682,905.27
  5. Step 5: Solve for x
    x = 236,682,905.27/19,706.94
  6. Step 6: Final answer
    x = 12,010.13

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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.