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Finding the Fourth Proportional to 14,078.85, 21,100.73 and 12,319.68

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Solution

The fourth proportional to 14,078.85, 21,100.73 and 12,319.68 is: 18,464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.85 : 21,100.73 = 12,319.68 : x
  2. Step 2: Convert to fraction form
    14,078.85/21,100.73 = 12,319.68/x
  3. Step 3: Cross multiply
    14,078.85x = 21,100.73 × 12,319.68
  4. Step 4: Simplify right side
    14,078.85x = 259,954,249.07
  5. Step 5: Solve for x
    x = 259,954,249.07/14,078.85
  6. Step 6: Final answer
    x = 18,464.17

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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.