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Finding the Fourth Proportional to 16,240.30, 22,409.46 and 9,874.31

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Solution

The fourth proportional to 16,240.30, 22,409.46 and 9,874.31 is: 13,625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,240.30 : 22,409.46 = 9,874.31 : x
  2. Step 2: Convert to fraction form
    16,240.30/22,409.46 = 9,874.31/x
  3. Step 3: Cross multiply
    16,240.30x = 22,409.46 × 9,874.31
  4. Step 4: Simplify right side
    16,240.30x = 221,277,842.93
  5. Step 5: Solve for x
    x = 221,277,842.93/16,240.30
  6. Step 6: Final answer
    x = 13,625.23

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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.