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Finding the Fourth Proportional to 12,730.71, 19,093.58 and 6,403.90

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Solution

The fourth proportional to 12,730.71, 19,093.58 and 6,403.90 is: 9,604.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.71 : 19,093.58 = 6,403.90 : x
  2. Step 2: Convert to fraction form
    12,730.71/19,093.58 = 6,403.90/x
  3. Step 3: Cross multiply
    12,730.71x = 19,093.58 × 6,403.90
  4. Step 4: Simplify right side
    12,730.71x = 122,273,376.96
  5. Step 5: Solve for x
    x = 122,273,376.96/12,730.71
  6. Step 6: Final answer
    x = 9,604.60

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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.