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Finding the Fourth Proportional to 13,986.03, 19,300.77 and 7,698.42

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Solution

The fourth proportional to 13,986.03, 19,300.77 and 7,698.42 is: 10,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.03 : 19,300.77 = 7,698.42 : x
  2. Step 2: Convert to fraction form
    13,986.03/19,300.77 = 7,698.42/x
  3. Step 3: Cross multiply
    13,986.03x = 19,300.77 × 7,698.42
  4. Step 4: Simplify right side
    13,986.03x = 148,585,433.78
  5. Step 5: Solve for x
    x = 148,585,433.78/13,986.03
  6. Step 6: Final answer
    x = 10,623.85

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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.