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Finding the Fourth Proportional to 11,492.70, 17,215.13 and 11,096.16

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Solution

The fourth proportional to 11,492.70, 17,215.13 and 11,096.16 is: 16,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.70 : 17,215.13 = 11,096.16 : x
  2. Step 2: Convert to fraction form
    11,492.70/17,215.13 = 11,096.16/x
  3. Step 3: Cross multiply
    11,492.70x = 17,215.13 × 11,096.16
  4. Step 4: Simplify right side
    11,492.70x = 191,021,800.08
  5. Step 5: Solve for x
    x = 191,021,800.08/11,492.70
  6. Step 6: Final answer
    x = 16,621.14

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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.