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Finding the Fourth Proportional to 14,196.40, 21,294.40 and 6,405.20

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Solution

The fourth proportional to 14,196.40, 21,294.40 and 6,405.20 is: 9,607.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196.40 : 21,294.40 = 6,405.20 : x
  2. Step 2: Convert to fraction form
    14,196.40/21,294.40 = 6,405.20/x
  3. Step 3: Cross multiply
    14,196.40x = 21,294.40 × 6,405.20
  4. Step 4: Simplify right side
    14,196.40x = 136,394,890.88
  5. Step 5: Solve for x
    x = 136,394,890.88/14,196.40
  6. Step 6: Final answer
    x = 9,607.71

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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.