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Finding the Fourth Proportional to 16,492.52, 24,738.80 and 4,180.52

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Solution

The fourth proportional to 16,492.52, 24,738.80 and 4,180.52 is: 6,270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492.52 : 24,738.80 = 4,180.52 : x
  2. Step 2: Convert to fraction form
    16,492.52/24,738.80 = 4,180.52/x
  3. Step 3: Cross multiply
    16,492.52x = 24,738.80 × 4,180.52
  4. Step 4: Simplify right side
    16,492.52x = 103,421,048.18
  5. Step 5: Solve for x
    x = 103,421,048.18/16,492.52
  6. Step 6: Final answer
    x = 6,270.79

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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.