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Finding the Fourth Proportional to 15,583.32, 21,504.72 and 8,509.56

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Solution

The fourth proportional to 15,583.32, 21,504.72 and 8,509.56 is: 11,743.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583.32 : 21,504.72 = 8,509.56 : x
  2. Step 2: Convert to fraction form
    15,583.32/21,504.72 = 8,509.56/x
  3. Step 3: Cross multiply
    15,583.32x = 21,504.72 × 8,509.56
  4. Step 4: Simplify right side
    15,583.32x = 182,995,705.12
  5. Step 5: Solve for x
    x = 182,995,705.12/15,583.32
  6. Step 6: Final answer
    x = 11,743.05

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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.