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Finding the Fourth Proportional to 27,830.38, 38,405.92 and 15,255.94

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Solution

The fourth proportional to 27,830.38, 38,405.92 and 15,255.94 is: 21,053.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.38 : 38,405.92 = 15,255.94 : x
  2. Step 2: Convert to fraction form
    27,830.38/38,405.92 = 15,255.94/x
  3. Step 3: Cross multiply
    27,830.38x = 38,405.92 × 15,255.94
  4. Step 4: Simplify right side
    27,830.38x = 585,918,411.16
  5. Step 5: Solve for x
    x = 585,918,411.16/27,830.38
  6. Step 6: Final answer
    x = 21,053.19

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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.