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Finding the Fourth Proportional to 12,880.71, 19,321.37 and 7,294.14

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Solution

The fourth proportional to 12,880.71, 19,321.37 and 7,294.14 is: 10,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,880.71 : 19,321.37 = 7,294.14 : x
  2. Step 2: Convert to fraction form
    12,880.71/19,321.37 = 7,294.14/x
  3. Step 3: Cross multiply
    12,880.71x = 19,321.37 × 7,294.14
  4. Step 4: Simplify right side
    12,880.71x = 140,932,741.30
  5. Step 5: Solve for x
    x = 140,932,741.30/12,880.71
  6. Step 6: Final answer
    x = 10,941.38

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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.