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Finding the Fourth Proportional to 13,961.88, 19,267.29 and 7,674.12

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Solution

The fourth proportional to 13,961.88, 19,267.29 and 7,674.12 is: 10,590.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,961.88 : 19,267.29 = 7,674.12 : x
  2. Step 2: Convert to fraction form
    13,961.88/19,267.29 = 7,674.12/x
  3. Step 3: Cross multiply
    13,961.88x = 19,267.29 × 7,674.12
  4. Step 4: Simplify right side
    13,961.88x = 147,859,495.53
  5. Step 5: Solve for x
    x = 147,859,495.53/13,961.88
  6. Step 6: Final answer
    x = 10,590.23

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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.