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Finding the Fourth Proportional to 13,923.45, 19,214.14 and 7,549.91

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Solution

The fourth proportional to 13,923.45, 19,214.14 and 7,549.91 is: 10,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923.45 : 19,214.14 = 7,549.91 : x
  2. Step 2: Convert to fraction form
    13,923.45/19,214.14 = 7,549.91/x
  3. Step 3: Cross multiply
    13,923.45x = 19,214.14 × 7,549.91
  4. Step 4: Simplify right side
    13,923.45x = 145,065,027.73
  5. Step 5: Solve for x
    x = 145,065,027.73/13,923.45
  6. Step 6: Final answer
    x = 10,418.76

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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.