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Finding the Fourth Proportional to 27,971.34, 38,600.46 and 15,396

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Solution

The fourth proportional to 27,971.34, 38,600.46 and 15,396 is: 21,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971.34 : 38,600.46 = 15,396 : x
  2. Step 2: Convert to fraction form
    27,971.34/38,600.46 = 15,396/x
  3. Step 3: Cross multiply
    27,971.34x = 38,600.46 × 15,396
  4. Step 4: Simplify right side
    27,971.34x = 594,292,682.16
  5. Step 5: Solve for x
    x = 594,292,682.16/27,971.34
  6. Step 6: Final answer
    x = 21,246.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.