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Finding the Fourth Proportional to 13,419.30, 20,128.32 and 6,394.20

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Solution

The fourth proportional to 13,419.30, 20,128.32 and 6,394.20 is: 9,591.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.30 : 20,128.32 = 6,394.20 : x
  2. Step 2: Convert to fraction form
    13,419.30/20,128.32 = 6,394.20/x
  3. Step 3: Cross multiply
    13,419.30x = 20,128.32 × 6,394.20
  4. Step 4: Simplify right side
    13,419.30x = 128,704,503.74
  5. Step 5: Solve for x
    x = 128,704,503.74/13,419.30
  6. Step 6: Final answer
    x = 9,591.00

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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.