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Finding the Fourth Proportional to 16,185.68, 24,274.32 and 11,492

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Solution

The fourth proportional to 16,185.68, 24,274.32 and 11,492 is: 17,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.68 : 24,274.32 = 11,492 : x
  2. Step 2: Convert to fraction form
    16,185.68/24,274.32 = 11,492/x
  3. Step 3: Cross multiply
    16,185.68x = 24,274.32 × 11,492
  4. Step 4: Simplify right side
    16,185.68x = 278,960,485.44
  5. Step 5: Solve for x
    x = 278,960,485.44/16,185.68
  6. Step 6: Final answer
    x = 17,235.02

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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.