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Finding the Fourth Proportional to 14,181.68, 19,569.96 and 8,212.88

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Solution

The fourth proportional to 14,181.68, 19,569.96 and 8,212.88 is: 11,333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.68 : 19,569.96 = 8,212.88 : x
  2. Step 2: Convert to fraction form
    14,181.68/19,569.96 = 8,212.88/x
  3. Step 3: Cross multiply
    14,181.68x = 19,569.96 × 8,212.88
  4. Step 4: Simplify right side
    14,181.68x = 160,725,733.08
  5. Step 5: Solve for x
    x = 160,725,733.08/14,181.68
  6. Step 6: Final answer
    x = 11,333.34

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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.