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Finding the Fourth Proportional to 19,522.24, 29,276.24 and 8,424.16

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Solution

The fourth proportional to 19,522.24, 29,276.24 and 8,424.16 is: 12,633.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,522.24 : 29,276.24 = 8,424.16 : x
  2. Step 2: Convert to fraction form
    19,522.24/29,276.24 = 8,424.16/x
  3. Step 3: Cross multiply
    19,522.24x = 29,276.24 × 8,424.16
  4. Step 4: Simplify right side
    19,522.24x = 246,627,729.96
  5. Step 5: Solve for x
    x = 246,627,729.96/19,522.24
  6. Step 6: Final answer
    x = 12,633.17

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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.