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Finding the Fourth Proportional to 13,830.40, 20,745.60 and 4,470.40

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Solution

The fourth proportional to 13,830.40, 20,745.60 and 4,470.40 is: 6,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.40 : 20,745.60 = 4,470.40 : x
  2. Step 2: Convert to fraction form
    13,830.40/20,745.60 = 4,470.40/x
  3. Step 3: Cross multiply
    13,830.40x = 20,745.60 × 4,470.40
  4. Step 4: Simplify right side
    13,830.40x = 92,741,130.24
  5. Step 5: Solve for x
    x = 92,741,130.24/13,830.40
  6. Step 6: Final answer
    x = 6,705.60

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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.