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Finding the Fourth Proportional to 26,496, 36,564.48 and 15,324.48

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Solution

The fourth proportional to 26,496, 36,564.48 and 15,324.48 is: 21,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,496 : 36,564.48 = 15,324.48 : x
  2. Step 2: Convert to fraction form
    26,496/36,564.48 = 15,324.48/x
  3. Step 3: Cross multiply
    26,496x = 36,564.48 × 15,324.48
  4. Step 4: Simplify right side
    26,496x = 560,331,642.47
  5. Step 5: Solve for x
    x = 560,331,642.47/26,496
  6. Step 6: Final answer
    x = 21,147.78

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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.