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Finding the Fourth Proportional to 15,682, 21,621.96 and 12,314.32

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Solution

The fourth proportional to 15,682, 21,621.96 and 12,314.32 is: 16,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682 : 21,621.96 = 12,314.32 : x
  2. Step 2: Convert to fraction form
    15,682/21,621.96 = 12,314.32/x
  3. Step 3: Cross multiply
    15,682x = 21,621.96 × 12,314.32
  4. Step 4: Simplify right side
    15,682x = 266,259,734.47
  5. Step 5: Solve for x
    x = 266,259,734.47/15,682
  6. Step 6: Final answer
    x = 16,978.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.