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Finding the Fourth Proportional to 13,958.76, 19,263.24 and 7,671

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Solution

The fourth proportional to 13,958.76, 19,263.24 and 7,671 is: 10,586.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958.76 : 19,263.24 = 7,671 : x
  2. Step 2: Convert to fraction form
    13,958.76/19,263.24 = 7,671/x
  3. Step 3: Cross multiply
    13,958.76x = 19,263.24 × 7,671
  4. Step 4: Simplify right side
    13,958.76x = 147,768,314.04
  5. Step 5: Solve for x
    x = 147,768,314.04/13,958.76
  6. Step 6: Final answer
    x = 10,586.06

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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.