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Finding the Fourth Proportional to 14,165.96, 19,547.83 and 8,198.02

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Solution

The fourth proportional to 14,165.96, 19,547.83 and 8,198.02 is: 11,312.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,165.96 : 19,547.83 = 8,198.02 : x
  2. Step 2: Convert to fraction form
    14,165.96/19,547.83 = 8,198.02/x
  3. Step 3: Cross multiply
    14,165.96x = 19,547.83 × 8,198.02
  4. Step 4: Simplify right side
    14,165.96x = 160,253,431.93
  5. Step 5: Solve for x
    x = 160,253,431.93/14,165.96
  6. Step 6: Final answer
    x = 11,312.57

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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.