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Finding the Fourth Proportional to 13,997.10, 19,314.86 and 8,690.90

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Solution

The fourth proportional to 13,997.10, 19,314.86 and 8,690.90 is: 11,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.10 : 19,314.86 = 8,690.90 : x
  2. Step 2: Convert to fraction form
    13,997.10/19,314.86 = 8,690.90/x
  3. Step 3: Cross multiply
    13,997.10x = 19,314.86 × 8,690.90
  4. Step 4: Simplify right side
    13,997.10x = 167,863,516.77
  5. Step 5: Solve for x
    x = 167,863,516.77/13,997.10
  6. Step 6: Final answer
    x = 11,992.74

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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.