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Finding the Fourth Proportional to 18,499.50, 25,529.31 and 10,116

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Solution

The fourth proportional to 18,499.50, 25,529.31 and 10,116 is: 13,960.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,499.50 : 25,529.31 = 10,116 : x
  2. Step 2: Convert to fraction form
    18,499.50/25,529.31 = 10,116/x
  3. Step 3: Cross multiply
    18,499.50x = 25,529.31 × 10,116
  4. Step 4: Simplify right side
    18,499.50x = 258,254,499.96
  5. Step 5: Solve for x
    x = 258,254,499.96/18,499.50
  6. Step 6: Final answer
    x = 13,960.08

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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.