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Finding the Fourth Proportional to 13,308.40, 19,930.20 and 6,374.80

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Solution

The fourth proportional to 13,308.40, 19,930.20 and 6,374.80 is: 9,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,308.40 : 19,930.20 = 6,374.80 : x
  2. Step 2: Convert to fraction form
    13,308.40/19,930.20 = 6,374.80/x
  3. Step 3: Cross multiply
    13,308.40x = 19,930.20 × 6,374.80
  4. Step 4: Simplify right side
    13,308.40x = 127,051,038.96
  5. Step 5: Solve for x
    x = 127,051,038.96/13,308.40
  6. Step 6: Final answer
    x = 9,546.68

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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.