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Finding the Fourth Proportional to 27,459.52, 41,194.14 and 9,953.80

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Solution

The fourth proportional to 27,459.52, 41,194.14 and 9,953.80 is: 14,932.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,459.52 : 41,194.14 = 9,953.80 : x
  2. Step 2: Convert to fraction form
    27,459.52/41,194.14 = 9,953.80/x
  3. Step 3: Cross multiply
    27,459.52x = 41,194.14 × 9,953.80
  4. Step 4: Simplify right side
    27,459.52x = 410,038,230.73
  5. Step 5: Solve for x
    x = 410,038,230.73/27,459.52
  6. Step 6: Final answer
    x = 14,932.46

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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.