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Finding the Fourth Proportional to 21,536.52, 32,313.01 and 8,398.05

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Solution

The fourth proportional to 21,536.52, 32,313.01 and 8,398.05 is: 12,600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,536.52 : 32,313.01 = 8,398.05 : x
  2. Step 2: Convert to fraction form
    21,536.52/32,313.01 = 8,398.05/x
  3. Step 3: Cross multiply
    21,536.52x = 32,313.01 × 8,398.05
  4. Step 4: Simplify right side
    21,536.52x = 271,366,273.63
  5. Step 5: Solve for x
    x = 271,366,273.63/21,536.52
  6. Step 6: Final answer
    x = 12,600.28

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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.