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Finding the Fourth Proportional to 12,492.24, 17,213.04 and 8,506.32

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Solution

The fourth proportional to 12,492.24, 17,213.04 and 8,506.32 is: 11,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,492.24 : 17,213.04 = 8,506.32 : x
  2. Step 2: Convert to fraction form
    12,492.24/17,213.04 = 8,506.32/x
  3. Step 3: Cross multiply
    12,492.24x = 17,213.04 × 8,506.32
  4. Step 4: Simplify right side
    12,492.24x = 146,419,626.41
  5. Step 5: Solve for x
    x = 146,419,626.41/12,492.24
  6. Step 6: Final answer
    x = 11,720.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.