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Finding the Fourth Proportional to 13,994.88, 19,311.84 and 7,706.40

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Solution

The fourth proportional to 13,994.88, 19,311.84 and 7,706.40 is: 10,634.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,994.88 : 19,311.84 = 7,706.40 : x
  2. Step 2: Convert to fraction form
    13,994.88/19,311.84 = 7,706.40/x
  3. Step 3: Cross multiply
    13,994.88x = 19,311.84 × 7,706.40
  4. Step 4: Simplify right side
    13,994.88x = 148,824,763.78
  5. Step 5: Solve for x
    x = 148,824,763.78/13,994.88
  6. Step 6: Final answer
    x = 10,634.23

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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.