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Finding the Fourth Proportional to 28,096.32, 42,135.84 and 9,624

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Solution

The fourth proportional to 28,096.32, 42,135.84 and 9,624 is: 14,433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,096.32 : 42,135.84 = 9,624 : x
  2. Step 2: Convert to fraction form
    28,096.32/42,135.84 = 9,624/x
  3. Step 3: Cross multiply
    28,096.32x = 42,135.84 × 9,624
  4. Step 4: Simplify right side
    28,096.32x = 405,515,324.16
  5. Step 5: Solve for x
    x = 405,515,324.16/28,096.32
  6. Step 6: Final answer
    x = 14,433.04

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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.