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Finding the Fourth Proportional to 15,583.11, 21,504.39 and 8,509.59

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Solution

The fourth proportional to 15,583.11, 21,504.39 and 8,509.59 is: 11,743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583.11 : 21,504.39 = 8,509.59 : x
  2. Step 2: Convert to fraction form
    15,583.11/21,504.39 = 8,509.59/x
  3. Step 3: Cross multiply
    15,583.11x = 21,504.39 × 8,509.59
  4. Step 4: Simplify right side
    15,583.11x = 182,993,542.10
  5. Step 5: Solve for x
    x = 182,993,542.10/15,583.11
  6. Step 6: Final answer
    x = 11,743.07

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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.