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Finding the Fourth Proportional to 27,767.58, 38,321.34 and 15,831.20

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Solution

The fourth proportional to 27,767.58, 38,321.34 and 15,831.20 is: 21,848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767.58 : 38,321.34 = 15,831.20 : x
  2. Step 2: Convert to fraction form
    27,767.58/38,321.34 = 15,831.20/x
  3. Step 3: Cross multiply
    27,767.58x = 38,321.34 × 15,831.20
  4. Step 4: Simplify right side
    27,767.58x = 606,672,797.81
  5. Step 5: Solve for x
    x = 606,672,797.81/27,767.58
  6. Step 6: Final answer
    x = 21,848.24

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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.