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Finding the Fourth Proportional to 13,706.16, 20,556.96 and 4,470

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Solution

The fourth proportional to 13,706.16, 20,556.96 and 4,470 is: 6,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.16 : 20,556.96 = 4,470 : x
  2. Step 2: Convert to fraction form
    13,706.16/20,556.96 = 4,470/x
  3. Step 3: Cross multiply
    13,706.16x = 20,556.96 × 4,470
  4. Step 4: Simplify right side
    13,706.16x = 91,889,611.20
  5. Step 5: Solve for x
    x = 91,889,611.20/13,706.16
  6. Step 6: Final answer
    x = 6,704.26

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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.