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Finding the Fourth Proportional to 13,994.72, 19,312.44 and 7,706.96

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Solution

The fourth proportional to 13,994.72, 19,312.44 and 7,706.96 is: 10,635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,994.72 : 19,312.44 = 7,706.96 : x
  2. Step 2: Convert to fraction form
    13,994.72/19,312.44 = 7,706.96/x
  3. Step 3: Cross multiply
    13,994.72x = 19,312.44 × 7,706.96
  4. Step 4: Simplify right side
    13,994.72x = 148,840,202.58
  5. Step 5: Solve for x
    x = 148,840,202.58/13,994.72
  6. Step 6: Final answer
    x = 10,635.45

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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.