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Finding the Fourth Proportional to 15,644.32, 21,589.16 and 8,570.80

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Solution

The fourth proportional to 15,644.32, 21,589.16 and 8,570.80 is: 11,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.32 : 21,589.16 = 8,570.80 : x
  2. Step 2: Convert to fraction form
    15,644.32/21,589.16 = 8,570.80/x
  3. Step 3: Cross multiply
    15,644.32x = 21,589.16 × 8,570.80
  4. Step 4: Simplify right side
    15,644.32x = 185,036,372.53
  5. Step 5: Solve for x
    x = 185,036,372.53/15,644.32
  6. Step 6: Final answer
    x = 11,827.70

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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.