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Finding the Fourth Proportional to 16,902.84, 23,326.74 and 9,349.14

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Solution

The fourth proportional to 16,902.84, 23,326.74 and 9,349.14 is: 12,902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,902.84 : 23,326.74 = 9,349.14 : x
  2. Step 2: Convert to fraction form
    16,902.84/23,326.74 = 9,349.14/x
  3. Step 3: Cross multiply
    16,902.84x = 23,326.74 × 9,349.14
  4. Step 4: Simplify right side
    16,902.84x = 218,084,958.00
  5. Step 5: Solve for x
    x = 218,084,958.00/16,902.84
  6. Step 6: Final answer
    x = 12,902.27

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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.