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Finding the Fourth Proportional to 13,820.40, 20,730.60 and 5,056.20

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Solution

The fourth proportional to 13,820.40, 20,730.60 and 5,056.20 is: 7,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.40 : 20,730.60 = 5,056.20 : x
  2. Step 2: Convert to fraction form
    13,820.40/20,730.60 = 5,056.20/x
  3. Step 3: Cross multiply
    13,820.40x = 20,730.60 × 5,056.20
  4. Step 4: Simplify right side
    13,820.40x = 104,818,059.72
  5. Step 5: Solve for x
    x = 104,818,059.72/13,820.40
  6. Step 6: Final answer
    x = 7,584.30

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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.