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Finding the Fourth Proportional to 24,786.14, 37,181.16 and 7,016.51

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Solution

The fourth proportional to 24,786.14, 37,181.16 and 7,016.51 is: 10,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,786.14 : 37,181.16 = 7,016.51 : x
  2. Step 2: Convert to fraction form
    24,786.14/37,181.16 = 7,016.51/x
  3. Step 3: Cross multiply
    24,786.14x = 37,181.16 × 7,016.51
  4. Step 4: Simplify right side
    24,786.14x = 260,882,073.90
  5. Step 5: Solve for x
    x = 260,882,073.90/24,786.14
  6. Step 6: Final answer
    x = 10,525.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.