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Finding the Fourth Proportional to 16,314.23, 22,515.23 and 9,145.37

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Solution

The fourth proportional to 16,314.23, 22,515.23 and 9,145.37 is: 12,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.23 : 22,515.23 = 9,145.37 : x
  2. Step 2: Convert to fraction form
    16,314.23/22,515.23 = 9,145.37/x
  3. Step 3: Cross multiply
    16,314.23x = 22,515.23 × 9,145.37
  4. Step 4: Simplify right side
    16,314.23x = 205,910,188.14
  5. Step 5: Solve for x
    x = 205,910,188.14/16,314.23
  6. Step 6: Final answer
    x = 12,621.51

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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.