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Finding the Fourth Proportional to 27,978.14, 38,626.26 and 17,373.62

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Solution

The fourth proportional to 27,978.14, 38,626.26 and 17,373.62 is: 23,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.14 : 38,626.26 = 17,373.62 : x
  2. Step 2: Convert to fraction form
    27,978.14/38,626.26 = 17,373.62/x
  3. Step 3: Cross multiply
    27,978.14x = 38,626.26 × 17,373.62
  4. Step 4: Simplify right side
    27,978.14x = 671,077,963.26
  5. Step 5: Solve for x
    x = 671,077,963.26/27,978.14
  6. Step 6: Final answer
    x = 23,985.80

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1.5x scale

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.