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Finding the Fourth Proportional to 16,850.34, 25,261.79 and 6,314.45

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Solution

The fourth proportional to 16,850.34, 25,261.79 and 6,314.45 is: 9,466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,850.34 : 25,261.79 = 6,314.45 : x
  2. Step 2: Convert to fraction form
    16,850.34/25,261.79 = 6,314.45/x
  3. Step 3: Cross multiply
    16,850.34x = 25,261.79 × 6,314.45
  4. Step 4: Simplify right side
    16,850.34x = 159,514,151.98
  5. Step 5: Solve for x
    x = 159,514,151.98/16,850.34
  6. Step 6: Final answer
    x = 9,466.52

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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.