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Finding the Fourth Proportional to 18,548.68, 25,596.66 and 10,165

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Solution

The fourth proportional to 18,548.68, 25,596.66 and 10,165 is: 14,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,548.68 : 25,596.66 = 10,165 : x
  2. Step 2: Convert to fraction form
    18,548.68/25,596.66 = 10,165/x
  3. Step 3: Cross multiply
    18,548.68x = 25,596.66 × 10,165
  4. Step 4: Simplify right side
    18,548.68x = 260,190,048.90
  5. Step 5: Solve for x
    x = 260,190,048.90/18,548.68
  6. Step 6: Final answer
    x = 14,027.42

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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.