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Finding the Fourth Proportional to 28,234.24, 38,954.24 and 16,296

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Solution

The fourth proportional to 28,234.24, 38,954.24 and 16,296 is: 22,483.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,234.24 : 38,954.24 = 16,296 : x
  2. Step 2: Convert to fraction form
    28,234.24/38,954.24 = 16,296/x
  3. Step 3: Cross multiply
    28,234.24x = 38,954.24 × 16,296
  4. Step 4: Simplify right side
    28,234.24x = 634,798,295.04
  5. Step 5: Solve for x
    x = 634,798,295.04/28,234.24
  6. Step 6: Final answer
    x = 22,483.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.