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Finding the Fourth Proportional to 12,809.46, 19,219.62 and 6,235.68

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Solution

The fourth proportional to 12,809.46, 19,219.62 and 6,235.68 is: 9,356.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.46 : 19,219.62 = 6,235.68 : x
  2. Step 2: Convert to fraction form
    12,809.46/19,219.62 = 6,235.68/x
  3. Step 3: Cross multiply
    12,809.46x = 19,219.62 × 6,235.68
  4. Step 4: Simplify right side
    12,809.46x = 119,847,400.04
  5. Step 5: Solve for x
    x = 119,847,400.04/12,809.46
  6. Step 6: Final answer
    x = 9,356.16

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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.