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Finding the Fourth Proportional to 14,181.84, 21,276 and 6,788.16

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Solution

The fourth proportional to 14,181.84, 21,276 and 6,788.16 is: 10,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.84 : 21,276 = 6,788.16 : x
  2. Step 2: Convert to fraction form
    14,181.84/21,276 = 6,788.16/x
  3. Step 3: Cross multiply
    14,181.84x = 21,276 × 6,788.16
  4. Step 4: Simplify right side
    14,181.84x = 144,424,892.16
  5. Step 5: Solve for x
    x = 144,424,892.16/14,181.84
  6. Step 6: Final answer
    x = 10,183.79

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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.