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Finding the Fourth Proportional to 11,902.52, 17,924.54 and 8,638.36

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Solution

The fourth proportional to 11,902.52, 17,924.54 and 8,638.36 is: 13,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.52 : 17,924.54 = 8,638.36 : x
  2. Step 2: Convert to fraction form
    11,902.52/17,924.54 = 8,638.36/x
  3. Step 3: Cross multiply
    11,902.52x = 17,924.54 × 8,638.36
  4. Step 4: Simplify right side
    11,902.52x = 154,838,629.35
  5. Step 5: Solve for x
    x = 154,838,629.35/11,902.52
  6. Step 6: Final answer
    x = 13,008.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.