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Finding the Fourth Proportional to 27,492.30, 41,260.32 and 9,967.14

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Solution

The fourth proportional to 27,492.30, 41,260.32 and 9,967.14 is: 14,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,492.30 : 41,260.32 = 9,967.14 : x
  2. Step 2: Convert to fraction form
    27,492.30/41,260.32 = 9,967.14/x
  3. Step 3: Cross multiply
    27,492.30x = 41,260.32 × 9,967.14
  4. Step 4: Simplify right side
    27,492.30x = 411,247,385.88
  5. Step 5: Solve for x
    x = 411,247,385.88/27,492.30
  6. Step 6: Final answer
    x = 14,958.64

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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.