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Finding the Fourth Proportional to 13,991.84, 19,308.88 and 7,704.24

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Solution

The fourth proportional to 13,991.84, 19,308.88 and 7,704.24 is: 10,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.84 : 19,308.88 = 7,704.24 : x
  2. Step 2: Convert to fraction form
    13,991.84/19,308.88 = 7,704.24/x
  3. Step 3: Cross multiply
    13,991.84x = 19,308.88 × 7,704.24
  4. Step 4: Simplify right side
    13,991.84x = 148,760,245.65
  5. Step 5: Solve for x
    x = 148,760,245.65/13,991.84
  6. Step 6: Final answer
    x = 10,631.93

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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.