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Finding the Fourth Proportional to 18,549.56, 25,598.34 and 10,166

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Solution

The fourth proportional to 18,549.56, 25,598.34 and 10,166 is: 14,029.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549.56 : 25,598.34 = 10,166 : x
  2. Step 2: Convert to fraction form
    18,549.56/25,598.34 = 10,166/x
  3. Step 3: Cross multiply
    18,549.56x = 25,598.34 × 10,166
  4. Step 4: Simplify right side
    18,549.56x = 260,232,724.44
  5. Step 5: Solve for x
    x = 260,232,724.44/18,549.56
  6. Step 6: Final answer
    x = 14,029.05

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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.