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Finding the Fourth Proportional to 16,321.90, 22,523.82 and 9,517.16

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Solution

The fourth proportional to 16,321.90, 22,523.82 and 9,517.16 is: 13,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,321.90 : 22,523.82 = 9,517.16 : x
  2. Step 2: Convert to fraction form
    16,321.90/22,523.82 = 9,517.16/x
  3. Step 3: Cross multiply
    16,321.90x = 22,523.82 × 9,517.16
  4. Step 4: Simplify right side
    16,321.90x = 214,362,798.75
  5. Step 5: Solve for x
    x = 214,362,798.75/16,321.90
  6. Step 6: Final answer
    x = 13,133.45

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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.