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Finding the Fourth Proportional to 16,409.09, 22,640.91 and 9,690.14

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Solution

The fourth proportional to 16,409.09, 22,640.91 and 9,690.14 is: 13,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.09 : 22,640.91 = 9,690.14 : x
  2. Step 2: Convert to fraction form
    16,409.09/22,640.91 = 9,690.14/x
  3. Step 3: Cross multiply
    16,409.09x = 22,640.91 × 9,690.14
  4. Step 4: Simplify right side
    16,409.09x = 219,393,587.63
  5. Step 5: Solve for x
    x = 219,393,587.63/16,409.09
  6. Step 6: Final answer
    x = 13,370.25

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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.