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Finding the Fourth Proportional to 26,450.62, 36,498 and 15,838

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Solution

The fourth proportional to 26,450.62, 36,498 and 15,838 is: 21,854.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,450.62 : 36,498 = 15,838 : x
  2. Step 2: Convert to fraction form
    26,450.62/36,498 = 15,838/x
  3. Step 3: Cross multiply
    26,450.62x = 36,498 × 15,838
  4. Step 4: Simplify right side
    26,450.62x = 578,055,324
  5. Step 5: Solve for x
    x = 578,055,324/26,450.62
  6. Step 6: Final answer
    x = 21,854.13

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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.