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Finding the Fourth Proportional to 13,994.44, 19,312.32 and 7,706.81

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Solution

The fourth proportional to 13,994.44, 19,312.32 and 7,706.81 is: 10,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,994.44 : 19,312.32 = 7,706.81 : x
  2. Step 2: Convert to fraction form
    13,994.44/19,312.32 = 7,706.81/x
  3. Step 3: Cross multiply
    13,994.44x = 19,312.32 × 7,706.81
  4. Step 4: Simplify right side
    13,994.44x = 148,836,458.08
  5. Step 5: Solve for x
    x = 148,836,458.08/13,994.44
  6. Step 6: Final answer
    x = 10,635.40

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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.