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Finding the Fourth Proportional to 13,667.64, 18,861.12 and 7,699.84

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Solution

The fourth proportional to 13,667.64, 18,861.12 and 7,699.84 is: 10,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.64 : 18,861.12 = 7,699.84 : x
  2. Step 2: Convert to fraction form
    13,667.64/18,861.12 = 7,699.84/x
  3. Step 3: Cross multiply
    13,667.64x = 18,861.12 × 7,699.84
  4. Step 4: Simplify right side
    13,667.64x = 145,227,606.22
  5. Step 5: Solve for x
    x = 145,227,606.22/13,667.64
  6. Step 6: Final answer
    x = 10,625.65

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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.