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Finding the Fourth Proportional to 21,538.96, 32,317.64 and 8,400.60

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Solution

The fourth proportional to 21,538.96, 32,317.64 and 8,400.60 is: 12,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.96 : 32,317.64 = 8,400.60 : x
  2. Step 2: Convert to fraction form
    21,538.96/32,317.64 = 8,400.60/x
  3. Step 3: Cross multiply
    21,538.96x = 32,317.64 × 8,400.60
  4. Step 4: Simplify right side
    21,538.96x = 271,487,566.58
  5. Step 5: Solve for x
    x = 271,487,566.58/21,538.96
  6. Step 6: Final answer
    x = 12,604.49

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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.