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Finding the Fourth Proportional to 13,517.13, 18,653.64 and 7,549.00

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Solution

The fourth proportional to 13,517.13, 18,653.64 and 7,549.00 is: 10,417.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.13 : 18,653.64 = 7,549.00 : x
  2. Step 2: Convert to fraction form
    13,517.13/18,653.64 = 7,549.00/x
  3. Step 3: Cross multiply
    13,517.13x = 18,653.64 × 7,549.00
  4. Step 4: Simplify right side
    13,517.13x = 140,816,295.88
  5. Step 5: Solve for x
    x = 140,816,295.88/13,517.13
  6. Step 6: Final answer
    x = 10,417.62

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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.