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Finding the Fourth Proportional to 15,496.70, 23,244.84 and 3,809.82

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Solution

The fourth proportional to 15,496.70, 23,244.84 and 3,809.82 is: 5,714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,496.70 : 23,244.84 = 3,809.82 : x
  2. Step 2: Convert to fraction form
    15,496.70/23,244.84 = 3,809.82/x
  3. Step 3: Cross multiply
    15,496.70x = 23,244.84 × 3,809.82
  4. Step 4: Simplify right side
    15,496.70x = 88,558,656.33
  5. Step 5: Solve for x
    x = 88,558,656.33/15,496.70
  6. Step 6: Final answer
    x = 5,714.68

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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.