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Finding the Fourth Proportional to 12,857.59, 19,288.79 and 5,838.09

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Solution

The fourth proportional to 12,857.59, 19,288.79 and 5,838.09 is: 8,758.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.59 : 19,288.79 = 5,838.09 : x
  2. Step 2: Convert to fraction form
    12,857.59/19,288.79 = 5,838.09/x
  3. Step 3: Cross multiply
    12,857.59x = 19,288.79 × 5,838.09
  4. Step 4: Simplify right side
    12,857.59x = 112,609,692.01
  5. Step 5: Solve for x
    x = 112,609,692.01/12,857.59
  6. Step 6: Final answer
    x = 8,758.23

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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.