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Finding the Fourth Proportional to 13,916.81, 20,822.91 and 9,764.92

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Solution

The fourth proportional to 13,916.81, 20,822.91 and 9,764.92 is: 14,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.81 : 20,822.91 = 9,764.92 : x
  2. Step 2: Convert to fraction form
    13,916.81/20,822.91 = 9,764.92/x
  3. Step 3: Cross multiply
    13,916.81x = 20,822.91 × 9,764.92
  4. Step 4: Simplify right side
    13,916.81x = 203,334,039.73
  5. Step 5: Solve for x
    x = 203,334,039.73/13,916.81
  6. Step 6: Final answer
    x = 14,610.68

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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.