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Finding the Fourth Proportional to 13,735.69, 20,603.49 and 4,968.52

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Solution

The fourth proportional to 13,735.69, 20,603.49 and 4,968.52 is: 7,452.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.69 : 20,603.49 = 4,968.52 : x
  2. Step 2: Convert to fraction form
    13,735.69/20,603.49 = 4,968.52/x
  3. Step 3: Cross multiply
    13,735.69x = 20,603.49 × 4,968.52
  4. Step 4: Simplify right side
    13,735.69x = 102,368,852.13
  5. Step 5: Solve for x
    x = 102,368,852.13/13,735.69
  6. Step 6: Final answer
    x = 7,452.76

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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.