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Finding the Fourth Proportional to 20,478.46, 30,506.34 and 19,858.96

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Solution

The fourth proportional to 20,478.46, 30,506.34 and 19,858.96 is: 29,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.46 : 30,506.34 = 19,858.96 : x
  2. Step 2: Convert to fraction form
    20,478.46/30,506.34 = 19,858.96/x
  3. Step 3: Cross multiply
    20,478.46x = 30,506.34 × 19,858.96
  4. Step 4: Simplify right side
    20,478.46x = 605,824,185.81
  5. Step 5: Solve for x
    x = 605,824,185.81/20,478.46
  6. Step 6: Final answer
    x = 29,583.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.