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Finding the Fourth Proportional to 12,880.71, 19,317.96 and 3,520.77

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Solution

The fourth proportional to 12,880.71, 19,317.96 and 3,520.77 is: 5,280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,880.71 : 19,317.96 = 3,520.77 : x
  2. Step 2: Convert to fraction form
    12,880.71/19,317.96 = 3,520.77/x
  3. Step 3: Cross multiply
    12,880.71x = 19,317.96 × 3,520.77
  4. Step 4: Simplify right side
    12,880.71x = 68,014,094.03
  5. Step 5: Solve for x
    x = 68,014,094.03/12,880.71
  6. Step 6: Final answer
    x = 5,280.31

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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.