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Finding the Fourth Proportional to 21,782.48, 32,676.75 and 6,995.93

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Solution

The fourth proportional to 21,782.48, 32,676.75 and 6,995.93 is: 10,494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.48 : 32,676.75 = 6,995.93 : x
  2. Step 2: Convert to fraction form
    21,782.48/32,676.75 = 6,995.93/x
  3. Step 3: Cross multiply
    21,782.48x = 32,676.75 × 6,995.93
  4. Step 4: Simplify right side
    21,782.48x = 228,604,220.65
  5. Step 5: Solve for x
    x = 228,604,220.65/21,782.48
  6. Step 6: Final answer
    x = 10,494.87

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