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Finding the Fourth Proportional to 15,644.64, 21,586.14 and 9,268.05

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Solution

The fourth proportional to 15,644.64, 21,586.14 and 9,268.05 is: 12,787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.64 : 21,586.14 = 9,268.05 : x
  2. Step 2: Convert to fraction form
    15,644.64/21,586.14 = 9,268.05/x
  3. Step 3: Cross multiply
    15,644.64x = 21,586.14 × 9,268.05
  4. Step 4: Simplify right side
    15,644.64x = 200,061,424.83
  5. Step 5: Solve for x
    x = 200,061,424.83/15,644.64
  6. Step 6: Final answer
    x = 12,787.86

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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.