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Finding the Fourth Proportional to 12,595.96, 17,379.28 and 8,114.32

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Solution

The fourth proportional to 12,595.96, 17,379.28 and 8,114.32 is: 11,195.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.96 : 17,379.28 = 8,114.32 : x
  2. Step 2: Convert to fraction form
    12,595.96/17,379.28 = 8,114.32/x
  3. Step 3: Cross multiply
    12,595.96x = 17,379.28 × 8,114.32
  4. Step 4: Simplify right side
    12,595.96x = 141,021,039.29
  5. Step 5: Solve for x
    x = 141,021,039.29/12,595.96
  6. Step 6: Final answer
    x = 11,195.74

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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.