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Finding the Fourth Proportional to 13,817.25, 19,067.94 and 7,529.76

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Solution

The fourth proportional to 13,817.25, 19,067.94 and 7,529.76 is: 10,391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.25 : 19,067.94 = 7,529.76 : x
  2. Step 2: Convert to fraction form
    13,817.25/19,067.94 = 7,529.76/x
  3. Step 3: Cross multiply
    13,817.25x = 19,067.94 × 7,529.76
  4. Step 4: Simplify right side
    13,817.25x = 143,577,011.89
  5. Step 5: Solve for x
    x = 143,577,011.89/13,817.25
  6. Step 6: Final answer
    x = 10,391.14

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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.