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Finding the Fourth Proportional to 19,676.96, 29,509.04 and 6,525.80

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Solution

The fourth proportional to 19,676.96, 29,509.04 and 6,525.80 is: 9,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676.96 : 29,509.04 = 6,525.80 : x
  2. Step 2: Convert to fraction form
    19,676.96/29,509.04 = 6,525.80/x
  3. Step 3: Cross multiply
    19,676.96x = 29,509.04 × 6,525.80
  4. Step 4: Simplify right side
    19,676.96x = 192,569,913.06
  5. Step 5: Solve for x
    x = 192,569,913.06/19,676.96
  6. Step 6: Final answer
    x = 9,786.57

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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.