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Finding the Fourth Proportional to 13,892.76, 19,171.50 and 7,605.18

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Solution

The fourth proportional to 13,892.76, 19,171.50 and 7,605.18 is: 10,494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.76 : 19,171.50 = 7,605.18 : x
  2. Step 2: Convert to fraction form
    13,892.76/19,171.50 = 7,605.18/x
  3. Step 3: Cross multiply
    13,892.76x = 19,171.50 × 7,605.18
  4. Step 4: Simplify right side
    13,892.76x = 145,802,708.37
  5. Step 5: Solve for x
    x = 145,802,708.37/13,892.76
  6. Step 6: Final answer
    x = 10,494.87

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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.