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Finding the Fourth Proportional to 21,714.24, 32,545.44 and 11,856

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Solution

The fourth proportional to 21,714.24, 32,545.44 and 11,856 is: 17,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.24 : 32,545.44 = 11,856 : x
  2. Step 2: Convert to fraction form
    21,714.24/32,545.44 = 11,856/x
  3. Step 3: Cross multiply
    21,714.24x = 32,545.44 × 11,856
  4. Step 4: Simplify right side
    21,714.24x = 385,858,736.64
  5. Step 5: Solve for x
    x = 385,858,736.64/21,714.24
  6. Step 6: Final answer
    x = 17,769.85

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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.