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Finding the Fourth Proportional to 12,906.32, 19,362 and 4,140.56

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Solution

The fourth proportional to 12,906.32, 19,362 and 4,140.56 is: 6,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.32 : 19,362 = 4,140.56 : x
  2. Step 2: Convert to fraction form
    12,906.32/19,362 = 4,140.56/x
  3. Step 3: Cross multiply
    12,906.32x = 19,362 × 4,140.56
  4. Step 4: Simplify right side
    12,906.32x = 80,169,522.72
  5. Step 5: Solve for x
    x = 80,169,522.72/12,906.32
  6. Step 6: Final answer
    x = 6,211.65

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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.