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Finding the Fourth Proportional to 13,548.54, 18,696.38 and 7,883.42

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Solution

The fourth proportional to 13,548.54, 18,696.38 and 7,883.42 is: 10,878.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.54 : 18,696.38 = 7,883.42 : x
  2. Step 2: Convert to fraction form
    13,548.54/18,696.38 = 7,883.42/x
  3. Step 3: Cross multiply
    13,548.54x = 18,696.38 × 7,883.42
  4. Step 4: Simplify right side
    13,548.54x = 147,391,416.02
  5. Step 5: Solve for x
    x = 147,391,416.02/13,548.54
  6. Step 6: Final answer
    x = 10,878.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.