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Finding the Fourth Proportional to 13,534.80, 20,302.20 and 9,819.60

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Solution

The fourth proportional to 13,534.80, 20,302.20 and 9,819.60 is: 14,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.80 : 20,302.20 = 9,819.60 : x
  2. Step 2: Convert to fraction form
    13,534.80/20,302.20 = 9,819.60/x
  3. Step 3: Cross multiply
    13,534.80x = 20,302.20 × 9,819.60
  4. Step 4: Simplify right side
    13,534.80x = 199,359,483.12
  5. Step 5: Solve for x
    x = 199,359,483.12/13,534.80
  6. Step 6: Final answer
    x = 14,729.40

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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.