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Finding the Fourth Proportional to 27,634.60, 41,458.26 and 7,913.32

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Solution

The fourth proportional to 27,634.60, 41,458.26 and 7,913.32 is: 11,871.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634.60 : 41,458.26 = 7,913.32 : x
  2. Step 2: Convert to fraction form
    27,634.60/41,458.26 = 7,913.32/x
  3. Step 3: Cross multiply
    27,634.60x = 41,458.26 × 7,913.32
  4. Step 4: Simplify right side
    27,634.60x = 328,072,478.02
  5. Step 5: Solve for x
    x = 328,072,478.02/27,634.60
  6. Step 6: Final answer
    x = 11,871.80

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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.