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Finding the Fourth Proportional to 27,758.44, 38,302.18 and 15,821.80

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Solution

The fourth proportional to 27,758.44, 38,302.18 and 15,821.80 is: 21,831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758.44 : 38,302.18 = 15,821.80 : x
  2. Step 2: Convert to fraction form
    27,758.44/38,302.18 = 15,821.80/x
  3. Step 3: Cross multiply
    27,758.44x = 38,302.18 × 15,821.80
  4. Step 4: Simplify right side
    27,758.44x = 606,009,431.52
  5. Step 5: Solve for x
    x = 606,009,431.52/27,758.44
  6. Step 6: Final answer
    x = 21,831.54

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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.