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Finding the Fourth Proportional to 16,852.09, 23,255.89 and 9,400.09

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Solution

The fourth proportional to 16,852.09, 23,255.89 and 9,400.09 is: 12,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.09 : 23,255.89 = 9,400.09 : x
  2. Step 2: Convert to fraction form
    16,852.09/23,255.89 = 9,400.09/x
  3. Step 3: Cross multiply
    16,852.09x = 23,255.89 × 9,400.09
  4. Step 4: Simplify right side
    16,852.09x = 218,607,459.03
  5. Step 5: Solve for x
    x = 218,607,459.03/16,852.09
  6. Step 6: Final answer
    x = 12,972.13

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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.