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Finding the Fourth Proportional to 14,131.20, 21,196.80 and 10,214.40

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Solution

The fourth proportional to 14,131.20, 21,196.80 and 10,214.40 is: 15,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.20 : 21,196.80 = 10,214.40 : x
  2. Step 2: Convert to fraction form
    14,131.20/21,196.80 = 10,214.40/x
  3. Step 3: Cross multiply
    14,131.20x = 21,196.80 × 10,214.40
  4. Step 4: Simplify right side
    14,131.20x = 216,512,593.92
  5. Step 5: Solve for x
    x = 216,512,593.92/14,131.20
  6. Step 6: Final answer
    x = 15,321.60

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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.