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Finding the Fourth Proportional to 13,428.40, 20,142.60 and 13,428.40

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Solution

The fourth proportional to 13,428.40, 20,142.60 and 13,428.40 is: 20,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.40 : 20,142.60 = 13,428.40 : x
  2. Step 2: Convert to fraction form
    13,428.40/20,142.60 = 13,428.40/x
  3. Step 3: Cross multiply
    13,428.40x = 20,142.60 × 13,428.40
  4. Step 4: Simplify right side
    13,428.40x = 270,482,889.84
  5. Step 5: Solve for x
    x = 270,482,889.84/13,428.40
  6. Step 6: Final answer
    x = 20,142.60

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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.