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Finding the Fourth Proportional to 19,378.12, 29,023.44 and 8,968

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Solution

The fourth proportional to 19,378.12, 29,023.44 and 8,968 is: 13,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,378.12 : 29,023.44 = 8,968 : x
  2. Step 2: Convert to fraction form
    19,378.12/29,023.44 = 8,968/x
  3. Step 3: Cross multiply
    19,378.12x = 29,023.44 × 8,968
  4. Step 4: Simplify right side
    19,378.12x = 260,282,209.92
  5. Step 5: Solve for x
    x = 260,282,209.92/19,378.12
  6. Step 6: Final answer
    x = 13,431.76

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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.