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Finding the Fourth Proportional to 13,527.81, 18,667.26 and 7,862.67

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Solution

The fourth proportional to 13,527.81, 18,667.26 and 7,862.67 is: 10,849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.81 : 18,667.26 = 7,862.67 : x
  2. Step 2: Convert to fraction form
    13,527.81/18,667.26 = 7,862.67/x
  3. Step 3: Cross multiply
    13,527.81x = 18,667.26 × 7,862.67
  4. Step 4: Simplify right side
    13,527.81x = 146,774,505.18
  5. Step 5: Solve for x
    x = 146,774,505.18/13,527.81
  6. Step 6: Final answer
    x = 10,849.83

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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.