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Finding the Fourth Proportional to 13,779.57, 20,666.54 and 3,916.20

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Solution

The fourth proportional to 13,779.57, 20,666.54 and 3,916.20 is: 5,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,779.57 : 20,666.54 = 3,916.20 : x
  2. Step 2: Convert to fraction form
    13,779.57/20,666.54 = 3,916.20/x
  3. Step 3: Cross multiply
    13,779.57x = 20,666.54 × 3,916.20
  4. Step 4: Simplify right side
    13,779.57x = 80,934,274.99
  5. Step 5: Solve for x
    x = 80,934,274.99/13,779.57
  6. Step 6: Final answer
    x = 5,873.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.