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Finding the Fourth Proportional to 13,428.02, 20,142.05 and 5,106.12

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Solution

The fourth proportional to 13,428.02, 20,142.05 and 5,106.12 is: 7,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.02 : 20,142.05 = 5,106.12 : x
  2. Step 2: Convert to fraction form
    13,428.02/20,142.05 = 5,106.12/x
  3. Step 3: Cross multiply
    13,428.02x = 20,142.05 × 5,106.12
  4. Step 4: Simplify right side
    13,428.02x = 102,847,698.82
  5. Step 5: Solve for x
    x = 102,847,698.82/13,428.02
  6. Step 6: Final answer
    x = 7,659.19

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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.