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Finding the Fourth Proportional to 13,402, 20,073.24 and 7,545.52

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Solution

The fourth proportional to 13,402, 20,073.24 and 7,545.52 is: 11,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402 : 20,073.24 = 7,545.52 : x
  2. Step 2: Convert to fraction form
    13,402/20,073.24 = 7,545.52/x
  3. Step 3: Cross multiply
    13,402x = 20,073.24 × 7,545.52
  4. Step 4: Simplify right side
    13,402x = 151,463,033.88
  5. Step 5: Solve for x
    x = 151,463,033.88/13,402
  6. Step 6: Final answer
    x = 11,301.52

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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.