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Finding the Fourth Proportional to 27,567.78, 38,031.26 and 18,371.40

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Solution

The fourth proportional to 27,567.78, 38,031.26 and 18,371.40 is: 25,344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,567.78 : 38,031.26 = 18,371.40 : x
  2. Step 2: Convert to fraction form
    27,567.78/38,031.26 = 18,371.40/x
  3. Step 3: Cross multiply
    27,567.78x = 38,031.26 × 18,371.40
  4. Step 4: Simplify right side
    27,567.78x = 698,687,398.11
  5. Step 5: Solve for x
    x = 698,687,398.11/27,567.78
  6. Step 6: Final answer
    x = 25,344.35

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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.