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Finding the Fourth Proportional to 19,827.35, 29,741.03 and 6,678.62

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Solution

The fourth proportional to 19,827.35, 29,741.03 and 6,678.62 is: 10,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.35 : 29,741.03 = 6,678.62 : x
  2. Step 2: Convert to fraction form
    19,827.35/29,741.03 = 6,678.62/x
  3. Step 3: Cross multiply
    19,827.35x = 29,741.03 × 6,678.62
  4. Step 4: Simplify right side
    19,827.35x = 198,629,037.78
  5. Step 5: Solve for x
    x = 198,629,037.78/19,827.35
  6. Step 6: Final answer
    x = 10,017.93

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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.