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Finding the Fourth Proportional to 13,958.82, 19,263.17 and 7,671.20

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Solution

The fourth proportional to 13,958.82, 19,263.17 and 7,671.20 is: 10,586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958.82 : 19,263.17 = 7,671.20 : x
  2. Step 2: Convert to fraction form
    13,958.82/19,263.17 = 7,671.20/x
  3. Step 3: Cross multiply
    13,958.82x = 19,263.17 × 7,671.20
  4. Step 4: Simplify right side
    13,958.82x = 147,771,495.03
  5. Step 5: Solve for x
    x = 147,771,495.03/13,958.82
  6. Step 6: Final answer
    x = 10,586.25

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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.