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Finding the Fourth Proportional to 19,827.36, 29,741.04 and 6,678.63

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Solution

The fourth proportional to 19,827.36, 29,741.04 and 6,678.63 is: 10,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.36 : 29,741.04 = 6,678.63 : x
  2. Step 2: Convert to fraction form
    19,827.36/29,741.04 = 6,678.63/x
  3. Step 3: Cross multiply
    19,827.36x = 29,741.04 × 6,678.63
  4. Step 4: Simplify right side
    19,827.36x = 198,629,401.98
  5. Step 5: Solve for x
    x = 198,629,401.98/19,827.36
  6. Step 6: Final answer
    x = 10,017.95

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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.