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Finding the Fourth Proportional to 12,806.10, 19,208.07 and 7,241.94

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Solution

The fourth proportional to 12,806.10, 19,208.07 and 7,241.94 is: 10,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.10 : 19,208.07 = 7,241.94 : x
  2. Step 2: Convert to fraction form
    12,806.10/19,208.07 = 7,241.94/x
  3. Step 3: Cross multiply
    12,806.10x = 19,208.07 × 7,241.94
  4. Step 4: Simplify right side
    12,806.10x = 139,103,690.46
  5. Step 5: Solve for x
    x = 139,103,690.46/12,806.10
  6. Step 6: Final answer
    x = 10,862.30

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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.