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Finding the Fourth Proportional to 21,575.36, 32,367.36 and 6,788

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Solution

The fourth proportional to 21,575.36, 32,367.36 and 6,788 is: 10,183.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,575.36 : 32,367.36 = 6,788 : x
  2. Step 2: Convert to fraction form
    21,575.36/32,367.36 = 6,788/x
  3. Step 3: Cross multiply
    21,575.36x = 32,367.36 × 6,788
  4. Step 4: Simplify right side
    21,575.36x = 219,709,639.68
  5. Step 5: Solve for x
    x = 219,709,639.68/21,575.36
  6. Step 6: Final answer
    x = 10,183.36

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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.