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Finding the Fourth Proportional to 13,619.13, 20,428.14 and 3,758.16

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Solution

The fourth proportional to 13,619.13, 20,428.14 and 3,758.16 is: 5,637.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,619.13 : 20,428.14 = 3,758.16 : x
  2. Step 2: Convert to fraction form
    13,619.13/20,428.14 = 3,758.16/x
  3. Step 3: Cross multiply
    13,619.13x = 20,428.14 × 3,758.16
  4. Step 4: Simplify right side
    13,619.13x = 76,772,142.02
  5. Step 5: Solve for x
    x = 76,772,142.02/13,619.13
  6. Step 6: Final answer
    x = 5,637.08

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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.