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Finding the Fourth Proportional to 14,017.49, 19,344.11 and 7,644.08

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Solution

The fourth proportional to 14,017.49, 19,344.11 and 7,644.08 is: 10,548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017.49 : 19,344.11 = 7,644.08 : x
  2. Step 2: Convert to fraction form
    14,017.49/19,344.11 = 7,644.08/x
  3. Step 3: Cross multiply
    14,017.49x = 19,344.11 × 7,644.08
  4. Step 4: Simplify right side
    14,017.49x = 147,867,827.65
  5. Step 5: Solve for x
    x = 147,867,827.65/14,017.49
  6. Step 6: Final answer
    x = 10,548.81

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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.