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Finding the Fourth Proportional to 13,980.78, 19,277.73 and 10,197.27

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Solution

The fourth proportional to 13,980.78, 19,277.73 and 10,197.27 is: 14,060.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.78 : 19,277.73 = 10,197.27 : x
  2. Step 2: Convert to fraction form
    13,980.78/19,277.73 = 10,197.27/x
  3. Step 3: Cross multiply
    13,980.78x = 19,277.73 × 10,197.27
  4. Step 4: Simplify right side
    13,980.78x = 196,580,217.80
  5. Step 5: Solve for x
    x = 196,580,217.80/13,980.78
  6. Step 6: Final answer
    x = 14,060.75

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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.