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Finding the Fourth Proportional to 27,947.34, 38,567.25 and 15,372

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Solution

The fourth proportional to 27,947.34, 38,567.25 and 15,372 is: 21,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,947.34 : 38,567.25 = 15,372 : x
  2. Step 2: Convert to fraction form
    27,947.34/38,567.25 = 15,372/x
  3. Step 3: Cross multiply
    27,947.34x = 38,567.25 × 15,372
  4. Step 4: Simplify right side
    27,947.34x = 592,855,767
  5. Step 5: Solve for x
    x = 592,855,767/27,947.34
  6. Step 6: Final answer
    x = 21,213.32

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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.