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Finding the Fourth Proportional to 14,017.94, 19,344.50 and 7,644.58

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Solution

The fourth proportional to 14,017.94, 19,344.50 and 7,644.58 is: 10,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017.94 : 19,344.50 = 7,644.58 : x
  2. Step 2: Convert to fraction form
    14,017.94/19,344.50 = 7,644.58/x
  3. Step 3: Cross multiply
    14,017.94x = 19,344.50 × 7,644.58
  4. Step 4: Simplify right side
    14,017.94x = 147,880,481.09
  5. Step 5: Solve for x
    x = 147,880,481.09/14,017.94
  6. Step 6: Final answer
    x = 10,549.37

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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.