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Finding the Fourth Proportional to 13,420.35, 20,134.01 and 5,100.51

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Solution

The fourth proportional to 13,420.35, 20,134.01 and 5,100.51 is: 7,652.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.35 : 20,134.01 = 5,100.51 : x
  2. Step 2: Convert to fraction form
    13,420.35/20,134.01 = 5,100.51/x
  3. Step 3: Cross multiply
    13,420.35x = 20,134.01 × 5,100.51
  4. Step 4: Simplify right side
    13,420.35x = 102,693,693.84
  5. Step 5: Solve for x
    x = 102,693,693.84/13,420.35
  6. Step 6: Final answer
    x = 7,652.09

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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.