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Finding the Fourth Proportional to 13,466.66, 20,181.25 and 6,878.93

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Solution

The fourth proportional to 13,466.66, 20,181.25 and 6,878.93 is: 10,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.66 : 20,181.25 = 6,878.93 : x
  2. Step 2: Convert to fraction form
    13,466.66/20,181.25 = 6,878.93/x
  3. Step 3: Cross multiply
    13,466.66x = 20,181.25 × 6,878.93
  4. Step 4: Simplify right side
    13,466.66x = 138,825,313.75
  5. Step 5: Solve for x
    x = 138,825,313.75/13,466.66
  6. Step 6: Final answer
    x = 10,308.82

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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.