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Finding the Fourth Proportional to 12,894.36, 19,364.54 and 10,558.82

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Solution

The fourth proportional to 12,894.36, 19,364.54 and 10,558.82 is: 15,857.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.36 : 19,364.54 = 10,558.82 : x
  2. Step 2: Convert to fraction form
    12,894.36/19,364.54 = 10,558.82/x
  3. Step 3: Cross multiply
    12,894.36x = 19,364.54 × 10,558.82
  4. Step 4: Simplify right side
    12,894.36x = 204,466,692.24
  5. Step 5: Solve for x
    x = 204,466,692.24/12,894.36
  6. Step 6: Final answer
    x = 15,857.06

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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.