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Finding the Fourth Proportional to 13,894.78, 19,183.72 and 12,400.12

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Solution

The fourth proportional to 13,894.78, 19,183.72 and 12,400.12 is: 17,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.78 : 19,183.72 = 12,400.12 : x
  2. Step 2: Convert to fraction form
    13,894.78/19,183.72 = 12,400.12/x
  3. Step 3: Cross multiply
    13,894.78x = 19,183.72 × 12,400.12
  4. Step 4: Simplify right side
    13,894.78x = 237,880,430.05
  5. Step 5: Solve for x
    x = 237,880,430.05/13,894.78
  6. Step 6: Final answer
    x = 17,120.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.