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Finding the Fourth Proportional to 13,830.40, 20,735.04 and 6,909.76

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Solution

The fourth proportional to 13,830.40, 20,735.04 and 6,909.76 is: 10,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.40 : 20,735.04 = 6,909.76 : x
  2. Step 2: Convert to fraction form
    13,830.40/20,735.04 = 6,909.76/x
  3. Step 3: Cross multiply
    13,830.40x = 20,735.04 × 6,909.76
  4. Step 4: Simplify right side
    13,830.40x = 143,274,149.99
  5. Step 5: Solve for x
    x = 143,274,149.99/13,830.40
  6. Step 6: Final answer
    x = 10,359.36

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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.