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Finding the Fourth Proportional to 16,762.38, 23,132.66 and 9,593.48

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Solution

The fourth proportional to 16,762.38, 23,132.66 and 9,593.48 is: 13,239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,762.38 : 23,132.66 = 9,593.48 : x
  2. Step 2: Convert to fraction form
    16,762.38/23,132.66 = 9,593.48/x
  3. Step 3: Cross multiply
    16,762.38x = 23,132.66 × 9,593.48
  4. Step 4: Simplify right side
    16,762.38x = 221,922,711.06
  5. Step 5: Solve for x
    x = 221,922,711.06/16,762.38
  6. Step 6: Final answer
    x = 13,239.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.