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Finding the Fourth Proportional to 13,019.98, 17,968.67 and 7,355.76

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Solution

The fourth proportional to 13,019.98, 17,968.67 and 7,355.76 is: 10,151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.98 : 17,968.67 = 7,355.76 : x
  2. Step 2: Convert to fraction form
    13,019.98/17,968.67 = 7,355.76/x
  3. Step 3: Cross multiply
    13,019.98x = 17,968.67 × 7,355.76
  4. Step 4: Simplify right side
    13,019.98x = 132,173,262.33
  5. Step 5: Solve for x
    x = 132,173,262.33/13,019.98
  6. Step 6: Final answer
    x = 10,151.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.