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Finding the Fourth Proportional to 12,683.57, 19,025.35 and 9,906.08

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Solution

The fourth proportional to 12,683.57, 19,025.35 and 9,906.08 is: 14,859.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.57 : 19,025.35 = 9,906.08 : x
  2. Step 2: Convert to fraction form
    12,683.57/19,025.35 = 9,906.08/x
  3. Step 3: Cross multiply
    12,683.57x = 19,025.35 × 9,906.08
  4. Step 4: Simplify right side
    12,683.57x = 188,466,519.24
  5. Step 5: Solve for x
    x = 188,466,519.24/12,683.57
  6. Step 6: Final answer
    x = 14,859.11

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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.