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Finding the Fourth Proportional to 13,499.96, 18,633.90 and 8,534.84

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Solution

The fourth proportional to 13,499.96, 18,633.90 and 8,534.84 is: 11,780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,499.96 : 18,633.90 = 8,534.84 : x
  2. Step 2: Convert to fraction form
    13,499.96/18,633.90 = 8,534.84/x
  3. Step 3: Cross multiply
    13,499.96x = 18,633.90 × 8,534.84
  4. Step 4: Simplify right side
    13,499.96x = 159,037,355.08
  5. Step 5: Solve for x
    x = 159,037,355.08/13,499.96
  6. Step 6: Final answer
    x = 11,780.58

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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.