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Finding the Fourth Proportional to 40,383.84, 60,581.52 and 12,684

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Solution

The fourth proportional to 40,383.84, 60,581.52 and 12,684 is: 19,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,383.84 : 60,581.52 = 12,684 : x
  2. Step 2: Convert to fraction form
    40,383.84/60,581.52 = 12,684/x
  3. Step 3: Cross multiply
    40,383.84x = 60,581.52 × 12,684
  4. Step 4: Simplify right side
    40,383.84x = 768,415,999.68
  5. Step 5: Solve for x
    x = 768,415,999.68/40,383.84
  6. Step 6: Final answer
    x = 19,027.81

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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.