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Finding the Fourth Proportional to 27,644, 38,148.73 and 15,707.35

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Solution

The fourth proportional to 27,644, 38,148.73 and 15,707.35 is: 21,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,644 : 38,148.73 = 15,707.35 : x
  2. Step 2: Convert to fraction form
    27,644/38,148.73 = 15,707.35/x
  3. Step 3: Cross multiply
    27,644x = 38,148.73 × 15,707.35
  4. Step 4: Simplify right side
    27,644x = 599,215,454.17
  5. Step 5: Solve for x
    x = 599,215,454.17/27,644
  6. Step 6: Final answer
    x = 21,676.15

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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.