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Finding the Fourth Proportional to 12,709.36, 19,069.44 and 6,859.16

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Solution

The fourth proportional to 12,709.36, 19,069.44 and 6,859.16 is: 10,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.36 : 19,069.44 = 6,859.16 : x
  2. Step 2: Convert to fraction form
    12,709.36/19,069.44 = 6,859.16/x
  3. Step 3: Cross multiply
    12,709.36x = 19,069.44 × 6,859.16
  4. Step 4: Simplify right side
    12,709.36x = 130,800,340.07
  5. Step 5: Solve for x
    x = 130,800,340.07/12,709.36
  6. Step 6: Final answer
    x = 10,291.65

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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.