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Finding the Fourth Proportional to 16,094, 22,209.78 and 9,384.26

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Solution

The fourth proportional to 16,094, 22,209.78 and 9,384.26 is: 12,950.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094 : 22,209.78 = 9,384.26 : x
  2. Step 2: Convert to fraction form
    16,094/22,209.78 = 9,384.26/x
  3. Step 3: Cross multiply
    16,094x = 22,209.78 × 9,384.26
  4. Step 4: Simplify right side
    16,094x = 208,422,350.06
  5. Step 5: Solve for x
    x = 208,422,350.06/16,094
  6. Step 6: Final answer
    x = 12,950.31

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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.