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Finding the Fourth Proportional to 15,583.36, 21,504.93 and 8,509.78

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Solution

The fourth proportional to 15,583.36, 21,504.93 and 8,509.78 is: 11,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583.36 : 21,504.93 = 8,509.78 : x
  2. Step 2: Convert to fraction form
    15,583.36/21,504.93 = 8,509.78/x
  3. Step 3: Cross multiply
    15,583.36x = 21,504.93 × 8,509.78
  4. Step 4: Simplify right side
    15,583.36x = 183,002,314.57
  5. Step 5: Solve for x
    x = 183,002,314.57/15,583.36
  6. Step 6: Final answer
    x = 11,743.44

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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.