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Finding the Fourth Proportional to 13,820.78, 20,734.30 and 5,055.70

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Solution

The fourth proportional to 13,820.78, 20,734.30 and 5,055.70 is: 7,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.78 : 20,734.30 = 5,055.70 : x
  2. Step 2: Convert to fraction form
    13,820.78/20,734.30 = 5,055.70/x
  3. Step 3: Cross multiply
    13,820.78x = 20,734.30 × 5,055.70
  4. Step 4: Simplify right side
    13,820.78x = 104,826,400.51
  5. Step 5: Solve for x
    x = 104,826,400.51/13,820.78
  6. Step 6: Final answer
    x = 7,584.69

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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.