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Finding the Fourth Proportional to 27,492.75, 41,239.13 and 9,962.60

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Solution

The fourth proportional to 27,492.75, 41,239.13 and 9,962.60 is: 14,943.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,492.75 : 41,239.13 = 9,962.60 : x
  2. Step 2: Convert to fraction form
    27,492.75/41,239.13 = 9,962.60/x
  3. Step 3: Cross multiply
    27,492.75x = 41,239.13 × 9,962.60
  4. Step 4: Simplify right side
    27,492.75x = 410,848,700.53
  5. Step 5: Solve for x
    x = 410,848,700.53/27,492.75
  6. Step 6: Final answer
    x = 14,943.89

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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.