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Finding the Fourth Proportional to 27,770.54, 38,321.06 and 15,831.63

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Solution

The fourth proportional to 27,770.54, 38,321.06 and 15,831.63 is: 21,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770.54 : 38,321.06 = 15,831.63 : x
  2. Step 2: Convert to fraction form
    27,770.54/38,321.06 = 15,831.63/x
  3. Step 3: Cross multiply
    27,770.54x = 38,321.06 × 15,831.63
  4. Step 4: Simplify right side
    27,770.54x = 606,684,763.97
  5. Step 5: Solve for x
    x = 606,684,763.97/27,770.54
  6. Step 6: Final answer
    x = 21,846.35

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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.