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Finding the Fourth Proportional to 13,717.81, 20,564.37 and 4,950.67

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Solution

The fourth proportional to 13,717.81, 20,564.37 and 4,950.67 is: 7,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.81 : 20,564.37 = 4,950.67 : x
  2. Step 2: Convert to fraction form
    13,717.81/20,564.37 = 4,950.67/x
  3. Step 3: Cross multiply
    13,717.81x = 20,564.37 × 4,950.67
  4. Step 4: Simplify right side
    13,717.81x = 101,807,409.63
  5. Step 5: Solve for x
    x = 101,807,409.63/13,717.81
  6. Step 6: Final answer
    x = 7,421.55

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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.