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Finding the Fourth Proportional to 12,744.32, 19,128.62 and 5,346.78

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Solution

The fourth proportional to 12,744.32, 19,128.62 and 5,346.78 is: 8,025.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.32 : 19,128.62 = 5,346.78 : x
  2. Step 2: Convert to fraction form
    12,744.32/19,128.62 = 5,346.78/x
  3. Step 3: Cross multiply
    12,744.32x = 19,128.62 × 5,346.78
  4. Step 4: Simplify right side
    12,744.32x = 102,276,522.84
  5. Step 5: Solve for x
    x = 102,276,522.84/12,744.32
  6. Step 6: Final answer
    x = 8,025.26

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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.