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Finding the Fourth Proportional to 15,896.64, 23,844.96 and 5,509.20

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Solution

The fourth proportional to 15,896.64, 23,844.96 and 5,509.20 is: 8,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.64 : 23,844.96 = 5,509.20 : x
  2. Step 2: Convert to fraction form
    15,896.64/23,844.96 = 5,509.20/x
  3. Step 3: Cross multiply
    15,896.64x = 23,844.96 × 5,509.20
  4. Step 4: Simplify right side
    15,896.64x = 131,366,653.63
  5. Step 5: Solve for x
    x = 131,366,653.63/15,896.64
  6. Step 6: Final answer
    x = 8,263.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.