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Finding the Fourth Proportional to 15,583.28, 21,504.80 and 8,509.70

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Solution

The fourth proportional to 15,583.28, 21,504.80 and 8,509.70 is: 11,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583.28 : 21,504.80 = 8,509.70 : x
  2. Step 2: Convert to fraction form
    15,583.28/21,504.80 = 8,509.70/x
  3. Step 3: Cross multiply
    15,583.28x = 21,504.80 × 8,509.70
  4. Step 4: Simplify right side
    15,583.28x = 182,999,396.56
  5. Step 5: Solve for x
    x = 182,999,396.56/15,583.28
  6. Step 6: Final answer
    x = 11,743.32

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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.