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Finding the Fourth Proportional to 27,420.60, 41,105.94 and 9,886.44

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Solution

The fourth proportional to 27,420.60, 41,105.94 and 9,886.44 is: 14,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,420.60 : 41,105.94 = 9,886.44 : x
  2. Step 2: Convert to fraction form
    27,420.60/41,105.94 = 9,886.44/x
  3. Step 3: Cross multiply
    27,420.60x = 41,105.94 × 9,886.44
  4. Step 4: Simplify right side
    27,420.60x = 406,391,409.45
  5. Step 5: Solve for x
    x = 406,391,409.45/27,420.60
  6. Step 6: Final answer
    x = 14,820.66

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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.