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Finding the Fourth Proportional to 13,257.03, 19,884.50 and 7,706.84

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Solution

The fourth proportional to 13,257.03, 19,884.50 and 7,706.84 is: 11,559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.03 : 19,884.50 = 7,706.84 : x
  2. Step 2: Convert to fraction form
    13,257.03/19,884.50 = 7,706.84/x
  3. Step 3: Cross multiply
    13,257.03x = 19,884.50 × 7,706.84
  4. Step 4: Simplify right side
    13,257.03x = 153,246,560.56
  5. Step 5: Solve for x
    x = 153,246,560.56/13,257.03
  6. Step 6: Final answer
    x = 11,559.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.