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Finding the Fourth Proportional to 27,967.34, 38,594.94 and 15,392

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Solution

The fourth proportional to 27,967.34, 38,594.94 and 15,392 is: 21,240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,967.34 : 38,594.94 = 15,392 : x
  2. Step 2: Convert to fraction form
    27,967.34/38,594.94 = 15,392/x
  3. Step 3: Cross multiply
    27,967.34x = 38,594.94 × 15,392
  4. Step 4: Simplify right side
    27,967.34x = 594,053,316.48
  5. Step 5: Solve for x
    x = 594,053,316.48/27,967.34
  6. Step 6: Final answer
    x = 21,240.97

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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.