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Finding the Fourth Proportional to 13,651.84, 20,477.04 and 6,724

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Solution

The fourth proportional to 13,651.84, 20,477.04 and 6,724 is: 10,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.84 : 20,477.04 = 6,724 : x
  2. Step 2: Convert to fraction form
    13,651.84/20,477.04 = 6,724/x
  3. Step 3: Cross multiply
    13,651.84x = 20,477.04 × 6,724
  4. Step 4: Simplify right side
    13,651.84x = 137,687,616.96
  5. Step 5: Solve for x
    x = 137,687,616.96/13,651.84
  6. Step 6: Final answer
    x = 10,085.65

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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.