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Finding the Fourth Proportional to 14,116.84, 19,476.78 and 8,147.72

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Solution

The fourth proportional to 14,116.84, 19,476.78 and 8,147.72 is: 11,241.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.84 : 19,476.78 = 8,147.72 : x
  2. Step 2: Convert to fraction form
    14,116.84/19,476.78 = 8,147.72/x
  3. Step 3: Cross multiply
    14,116.84x = 19,476.78 × 8,147.72
  4. Step 4: Simplify right side
    14,116.84x = 158,691,349.94
  5. Step 5: Solve for x
    x = 158,691,349.94/14,116.84
  6. Step 6: Final answer
    x = 11,241.28

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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.