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Finding the Fourth Proportional to 13,028.90, 19,538.06 and 4,141.18

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Solution

The fourth proportional to 13,028.90, 19,538.06 and 4,141.18 is: 6,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028.90 : 19,538.06 = 4,141.18 : x
  2. Step 2: Convert to fraction form
    13,028.90/19,538.06 = 4,141.18/x
  3. Step 3: Cross multiply
    13,028.90x = 19,538.06 × 4,141.18
  4. Step 4: Simplify right side
    13,028.90x = 80,910,623.31
  5. Step 5: Solve for x
    x = 80,910,623.31/13,028.90
  6. Step 6: Final answer
    x = 6,210.09

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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.