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Finding the Fourth Proportional to 14,166.36, 19,549.44 and 7,878.78

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Solution

The fourth proportional to 14,166.36, 19,549.44 and 7,878.78 is: 10,872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,166.36 : 19,549.44 = 7,878.78 : x
  2. Step 2: Convert to fraction form
    14,166.36/19,549.44 = 7,878.78/x
  3. Step 3: Cross multiply
    14,166.36x = 19,549.44 × 7,878.78
  4. Step 4: Simplify right side
    14,166.36x = 154,025,736.88
  5. Step 5: Solve for x
    x = 154,025,736.88/14,166.36
  6. Step 6: Final answer
    x = 10,872.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.