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Finding the Fourth Proportional to 13,858.06, 20,774.13 and 5,090.62

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Solution

The fourth proportional to 13,858.06, 20,774.13 and 5,090.62 is: 7,631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.06 : 20,774.13 = 5,090.62 : x
  2. Step 2: Convert to fraction form
    13,858.06/20,774.13 = 5,090.62/x
  3. Step 3: Cross multiply
    13,858.06x = 20,774.13 × 5,090.62
  4. Step 4: Simplify right side
    13,858.06x = 105,753,130.64
  5. Step 5: Solve for x
    x = 105,753,130.64/13,858.06
  6. Step 6: Final answer
    x = 7,631.17

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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.