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Finding the Fourth Proportional to 27,825.28, 41,752 and 12,253.76

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Solution

The fourth proportional to 27,825.28, 41,752 and 12,253.76 is: 18,386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825.28 : 41,752 = 12,253.76 : x
  2. Step 2: Convert to fraction form
    27,825.28/41,752 = 12,253.76/x
  3. Step 3: Cross multiply
    27,825.28x = 41,752 × 12,253.76
  4. Step 4: Simplify right side
    27,825.28x = 511,618,987.52
  5. Step 5: Solve for x
    x = 511,618,987.52/27,825.28
  6. Step 6: Final answer
    x = 18,386.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.