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Finding the Fourth Proportional to 13,894.80, 19,183.78 and 12,400.16

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Solution

The fourth proportional to 13,894.80, 19,183.78 and 12,400.16 is: 17,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.80 : 19,183.78 = 12,400.16 : x
  2. Step 2: Convert to fraction form
    13,894.80/19,183.78 = 12,400.16/x
  3. Step 3: Cross multiply
    13,894.80x = 19,183.78 × 12,400.16
  4. Step 4: Simplify right side
    13,894.80x = 237,881,941.40
  5. Step 5: Solve for x
    x = 237,881,941.40/13,894.80
  6. Step 6: Final answer
    x = 17,120.21

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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.