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Finding the Fourth Proportional to 13,673.53, 20,495.95 and 7,743.01

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Solution

The fourth proportional to 13,673.53, 20,495.95 and 7,743.01 is: 11,606.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.53 : 20,495.95 = 7,743.01 : x
  2. Step 2: Convert to fraction form
    13,673.53/20,495.95 = 7,743.01/x
  3. Step 3: Cross multiply
    13,673.53x = 20,495.95 × 7,743.01
  4. Step 4: Simplify right side
    13,673.53x = 158,700,238.06
  5. Step 5: Solve for x
    x = 158,700,238.06/13,673.53
  6. Step 6: Final answer
    x = 11,606.38

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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.