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Finding the Fourth Proportional to 27,634.77, 41,460.23 and 8,914.40

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Solution

The fourth proportional to 27,634.77, 41,460.23 and 8,914.40 is: 13,374.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634.77 : 41,460.23 = 8,914.40 : x
  2. Step 2: Convert to fraction form
    27,634.77/41,460.23 = 8,914.40/x
  3. Step 3: Cross multiply
    27,634.77x = 41,460.23 × 8,914.40
  4. Step 4: Simplify right side
    27,634.77x = 369,592,867.01
  5. Step 5: Solve for x
    x = 369,592,867.01/27,634.77
  6. Step 6: Final answer
    x = 13,374.20

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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.