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Finding the Fourth Proportional to 11,954.40, 17,926.08 and 6,614

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Solution

The fourth proportional to 11,954.40, 17,926.08 and 6,614 is: 9,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.40 : 17,926.08 = 6,614 : x
  2. Step 2: Convert to fraction form
    11,954.40/17,926.08 = 6,614/x
  3. Step 3: Cross multiply
    11,954.40x = 17,926.08 × 6,614
  4. Step 4: Simplify right side
    11,954.40x = 118,563,093.12
  5. Step 5: Solve for x
    x = 118,563,093.12/11,954.40
  6. Step 6: Final answer
    x = 9,917.95

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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.