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Finding the Fourth Proportional to 27,684.90, 38,203.65 and 15,109.38

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Solution

The fourth proportional to 27,684.90, 38,203.65 and 15,109.38 is: 20,850.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684.90 : 38,203.65 = 15,109.38 : x
  2. Step 2: Convert to fraction form
    27,684.90/38,203.65 = 15,109.38/x
  3. Step 3: Cross multiply
    27,684.90x = 38,203.65 × 15,109.38
  4. Step 4: Simplify right side
    27,684.90x = 577,233,465.24
  5. Step 5: Solve for x
    x = 577,233,465.24/27,684.90
  6. Step 6: Final answer
    x = 20,850.12

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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.