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Finding the Fourth Proportional to 13,994.02, 19,311.78 and 7,706.26

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Solution

The fourth proportional to 13,994.02, 19,311.78 and 7,706.26 is: 10,634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,994.02 : 19,311.78 = 7,706.26 : x
  2. Step 2: Convert to fraction form
    13,994.02/19,311.78 = 7,706.26/x
  3. Step 3: Cross multiply
    13,994.02x = 19,311.78 × 7,706.26
  4. Step 4: Simplify right side
    13,994.02x = 148,821,597.74
  5. Step 5: Solve for x
    x = 148,821,597.74/13,994.02
  6. Step 6: Final answer
    x = 10,634.66

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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.