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Finding the Fourth Proportional to 23,105.84, 34,662.54 and 11,419.16

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Solution

The fourth proportional to 23,105.84, 34,662.54 and 11,419.16 is: 17,130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.84 : 34,662.54 = 11,419.16 : x
  2. Step 2: Convert to fraction form
    23,105.84/34,662.54 = 11,419.16/x
  3. Step 3: Cross multiply
    23,105.84x = 34,662.54 × 11,419.16
  4. Step 4: Simplify right side
    23,105.84x = 395,817,090.27
  5. Step 5: Solve for x
    x = 395,817,090.27/23,105.84
  6. Step 6: Final answer
    x = 17,130.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.