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Finding the Fourth Proportional to 27,840.78, 38,420.22 and 15,265.50

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Solution

The fourth proportional to 27,840.78, 38,420.22 and 15,265.50 is: 21,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,840.78 : 38,420.22 = 15,265.50 : x
  2. Step 2: Convert to fraction form
    27,840.78/38,420.22 = 15,265.50/x
  3. Step 3: Cross multiply
    27,840.78x = 38,420.22 × 15,265.50
  4. Step 4: Simplify right side
    27,840.78x = 586,503,868.41
  5. Step 5: Solve for x
    x = 586,503,868.41/27,840.78
  6. Step 6: Final answer
    x = 21,066.36

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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.