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Finding the Fourth Proportional to 13,316.53, 19,975.98 and 3,828.89

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Solution

The fourth proportional to 13,316.53, 19,975.98 and 3,828.89 is: 5,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,316.53 : 19,975.98 = 3,828.89 : x
  2. Step 2: Convert to fraction form
    13,316.53/19,975.98 = 3,828.89/x
  3. Step 3: Cross multiply
    13,316.53x = 19,975.98 × 3,828.89
  4. Step 4: Simplify right side
    13,316.53x = 76,485,880.00
  5. Step 5: Solve for x
    x = 76,485,880.00/13,316.53
  6. Step 6: Final answer
    x = 5,743.68

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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.