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Finding the Fourth Proportional to 12,633.84, 18,967.24 and 8,492.40

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Solution

The fourth proportional to 12,633.84, 18,967.24 and 8,492.40 is: 12,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.84 : 18,967.24 = 8,492.40 : x
  2. Step 2: Convert to fraction form
    12,633.84/18,967.24 = 8,492.40/x
  3. Step 3: Cross multiply
    12,633.84x = 18,967.24 × 8,492.40
  4. Step 4: Simplify right side
    12,633.84x = 161,077,388.98
  5. Step 5: Solve for x
    x = 161,077,388.98/12,633.84
  6. Step 6: Final answer
    x = 12,749.68

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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.