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Finding the Fourth Proportional to 13,100.85, 19,651.47 and 7,294.37

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Solution

The fourth proportional to 13,100.85, 19,651.47 and 7,294.37 is: 10,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100.85 : 19,651.47 = 7,294.37 : x
  2. Step 2: Convert to fraction form
    13,100.85/19,651.47 = 7,294.37/x
  3. Step 3: Cross multiply
    13,100.85x = 19,651.47 × 7,294.37
  4. Step 4: Simplify right side
    13,100.85x = 143,344,994.97
  5. Step 5: Solve for x
    x = 143,344,994.97/13,100.85
  6. Step 6: Final answer
    x = 10,941.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.