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Finding the Fourth Proportional to 13,288.96, 19,934.00 and 4,968.14

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Solution

The fourth proportional to 13,288.96, 19,934.00 and 4,968.14 is: 7,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,288.96 : 19,934.00 = 4,968.14 : x
  2. Step 2: Convert to fraction form
    13,288.96/19,934.00 = 4,968.14/x
  3. Step 3: Cross multiply
    13,288.96x = 19,934.00 × 4,968.14
  4. Step 4: Simplify right side
    13,288.96x = 99,034,796.88
  5. Step 5: Solve for x
    x = 99,034,796.88/13,288.96
  6. Step 6: Final answer
    x = 7,452.41

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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.