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Finding the Fourth Proportional to 14,296.40, 21,394.20 and 12,467.60

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Solution

The fourth proportional to 14,296.40, 21,394.20 and 12,467.60 is: 18,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.40 : 21,394.20 = 12,467.60 : x
  2. Step 2: Convert to fraction form
    14,296.40/21,394.20 = 12,467.60/x
  3. Step 3: Cross multiply
    14,296.40x = 21,394.20 × 12,467.60
  4. Step 4: Simplify right side
    14,296.40x = 266,734,327.92
  5. Step 5: Solve for x
    x = 266,734,327.92/14,296.40
  6. Step 6: Final answer
    x = 18,657.45

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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.