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Finding the Fourth Proportional to 13,842.34, 19,103.62 and 11,317.41

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Solution

The fourth proportional to 13,842.34, 19,103.62 and 11,317.41 is: 15,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.34 : 19,103.62 = 11,317.41 : x
  2. Step 2: Convert to fraction form
    13,842.34/19,103.62 = 11,317.41/x
  3. Step 3: Cross multiply
    13,842.34x = 19,103.62 × 11,317.41
  4. Step 4: Simplify right side
    13,842.34x = 216,203,471.73
  5. Step 5: Solve for x
    x = 216,203,471.73/13,842.34
  6. Step 6: Final answer
    x = 15,619.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.