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Finding the Fourth Proportional to 15,644.64, 21,589.63 and 8,474.57

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Solution

The fourth proportional to 15,644.64, 21,589.63 and 8,474.57 is: 11,694.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.64 : 21,589.63 = 8,474.57 : x
  2. Step 2: Convert to fraction form
    15,644.64/21,589.63 = 8,474.57/x
  3. Step 3: Cross multiply
    15,644.64x = 21,589.63 × 8,474.57
  4. Step 4: Simplify right side
    15,644.64x = 182,962,830.71
  5. Step 5: Solve for x
    x = 182,962,830.71/15,644.64
  6. Step 6: Final answer
    x = 11,694.92

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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.