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Finding the Fourth Proportional to 13,448.16, 20,208.08 and 6,878.66

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Solution

The fourth proportional to 13,448.16, 20,208.08 and 6,878.66 is: 10,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,448.16 : 20,208.08 = 6,878.66 : x
  2. Step 2: Convert to fraction form
    13,448.16/20,208.08 = 6,878.66/x
  3. Step 3: Cross multiply
    13,448.16x = 20,208.08 × 6,878.66
  4. Step 4: Simplify right side
    13,448.16x = 139,004,427.73
  5. Step 5: Solve for x
    x = 139,004,427.73/13,448.16
  6. Step 6: Final answer
    x = 10,336.32

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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.