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Finding the Fourth Proportional to 13,673.40, 20,509.41 and 5,354.94

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Solution

The fourth proportional to 13,673.40, 20,509.41 and 5,354.94 is: 8,032.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.40 : 20,509.41 = 5,354.94 : x
  2. Step 2: Convert to fraction form
    13,673.40/20,509.41 = 5,354.94/x
  3. Step 3: Cross multiply
    13,673.40x = 20,509.41 × 5,354.94
  4. Step 4: Simplify right side
    13,673.40x = 109,826,659.99
  5. Step 5: Solve for x
    x = 109,826,659.99/13,673.40
  6. Step 6: Final answer
    x = 8,032.14

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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.