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Finding the Fourth Proportional to 13,574.09, 18,732.23 and 7,605.80

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Solution

The fourth proportional to 13,574.09, 18,732.23 and 7,605.80 is: 10,495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.09 : 18,732.23 = 7,605.80 : x
  2. Step 2: Convert to fraction form
    13,574.09/18,732.23 = 7,605.80/x
  3. Step 3: Cross multiply
    13,574.09x = 18,732.23 × 7,605.80
  4. Step 4: Simplify right side
    13,574.09x = 142,473,519.58
  5. Step 5: Solve for x
    x = 142,473,519.58/13,574.09
  6. Step 6: Final answer
    x = 10,495.99

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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.