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Finding the Fourth Proportional to 12,941.28, 17,848.68 and 8,399

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Solution

The fourth proportional to 12,941.28, 17,848.68 and 8,399 is: 11,583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,941.28 : 17,848.68 = 8,399 : x
  2. Step 2: Convert to fraction form
    12,941.28/17,848.68 = 8,399/x
  3. Step 3: Cross multiply
    12,941.28x = 17,848.68 × 8,399
  4. Step 4: Simplify right side
    12,941.28x = 149,911,063.32
  5. Step 5: Solve for x
    x = 149,911,063.32/12,941.28
  6. Step 6: Final answer
    x = 11,583.94

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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.