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Finding the Fourth Proportional to 21,902.40, 32,844.96 and 8,048.16

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Solution

The fourth proportional to 21,902.40, 32,844.96 and 8,048.16 is: 12,069.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.40 : 32,844.96 = 8,048.16 : x
  2. Step 2: Convert to fraction form
    21,902.40/32,844.96 = 8,048.16/x
  3. Step 3: Cross multiply
    21,902.40x = 32,844.96 × 8,048.16
  4. Step 4: Simplify right side
    21,902.40x = 264,341,493.27
  5. Step 5: Solve for x
    x = 264,341,493.27/21,902.40
  6. Step 6: Final answer
    x = 12,069.07

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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.