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Finding the Fourth Proportional to 27,851.78, 38,435.40 and 15,276.50

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Solution

The fourth proportional to 27,851.78, 38,435.40 and 15,276.50 is: 21,081.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,851.78 : 38,435.40 = 15,276.50 : x
  2. Step 2: Convert to fraction form
    27,851.78/38,435.40 = 15,276.50/x
  3. Step 3: Cross multiply
    27,851.78x = 38,435.40 × 15,276.50
  4. Step 4: Simplify right side
    27,851.78x = 587,158,388.10
  5. Step 5: Solve for x
    x = 587,158,388.10/27,851.78
  6. Step 6: Final answer
    x = 21,081.54

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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.