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Finding the Fourth Proportional to 24,492.88, 36,742.98 and 8,906.86

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Solution

The fourth proportional to 24,492.88, 36,742.98 and 8,906.86 is: 13,361.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,492.88 : 36,742.98 = 8,906.86 : x
  2. Step 2: Convert to fraction form
    24,492.88/36,742.98 = 8,906.86/x
  3. Step 3: Cross multiply
    24,492.88x = 36,742.98 × 8,906.86
  4. Step 4: Simplify right side
    24,492.88x = 327,264,578.84
  5. Step 5: Solve for x
    x = 327,264,578.84/24,492.88
  6. Step 6: Final answer
    x = 13,361.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.