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Finding the Fourth Proportional to 13,825.53, 20,727.70 and 6,424.58

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Solution

The fourth proportional to 13,825.53, 20,727.70 and 6,424.58 is: 9,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.53 : 20,727.70 = 6,424.58 : x
  2. Step 2: Convert to fraction form
    13,825.53/20,727.70 = 6,424.58/x
  3. Step 3: Cross multiply
    13,825.53x = 20,727.70 × 6,424.58
  4. Step 4: Simplify right side
    13,825.53x = 133,166,802.62
  5. Step 5: Solve for x
    x = 133,166,802.62/13,825.53
  6. Step 6: Final answer
    x = 9,631.95

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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.