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Finding the Fourth Proportional to 21,589, 29,792.91 and 12,157.72

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Solution

The fourth proportional to 21,589, 29,792.91 and 12,157.72 is: 16,777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,589 : 29,792.91 = 12,157.72 : x
  2. Step 2: Convert to fraction form
    21,589/29,792.91 = 12,157.72/x
  3. Step 3: Cross multiply
    21,589x = 29,792.91 × 12,157.72
  4. Step 4: Simplify right side
    21,589x = 362,213,857.77
  5. Step 5: Solve for x
    x = 362,213,857.77/21,589
  6. Step 6: Final answer
    x = 16,777.70

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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.