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Finding the Fourth Proportional to 12,782.58, 19,175.31 and 4,015.14

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Solution

The fourth proportional to 12,782.58, 19,175.31 and 4,015.14 is: 6,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.58 : 19,175.31 = 4,015.14 : x
  2. Step 2: Convert to fraction form
    12,782.58/19,175.31 = 4,015.14/x
  3. Step 3: Cross multiply
    12,782.58x = 19,175.31 × 4,015.14
  4. Step 4: Simplify right side
    12,782.58x = 76,991,554.19
  5. Step 5: Solve for x
    x = 76,991,554.19/12,782.58
  6. Step 6: Final answer
    x = 6,023.16

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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.