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Finding the Fourth Proportional to 13,813.64, 20,721.92 and 5,916.96

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Solution

The fourth proportional to 13,813.64, 20,721.92 and 5,916.96 is: 8,876.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.64 : 20,721.92 = 5,916.96 : x
  2. Step 2: Convert to fraction form
    13,813.64/20,721.92 = 5,916.96/x
  3. Step 3: Cross multiply
    13,813.64x = 20,721.92 × 5,916.96
  4. Step 4: Simplify right side
    13,813.64x = 122,610,771.76
  5. Step 5: Solve for x
    x = 122,610,771.76/13,813.64
  6. Step 6: Final answer
    x = 8,876.07

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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.