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Finding the Fourth Proportional to 13,595.86, 20,376.60 and 7,755.76

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Solution

The fourth proportional to 13,595.86, 20,376.60 and 7,755.76 is: 11,623.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,595.86 : 20,376.60 = 7,755.76 : x
  2. Step 2: Convert to fraction form
    13,595.86/20,376.60 = 7,755.76/x
  3. Step 3: Cross multiply
    13,595.86x = 20,376.60 × 7,755.76
  4. Step 4: Simplify right side
    13,595.86x = 158,036,019.22
  5. Step 5: Solve for x
    x = 158,036,019.22/13,595.86
  6. Step 6: Final answer
    x = 11,623.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.