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Finding the Fourth Proportional to 21,930.93, 32,899.64 and 6,346.53

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Solution

The fourth proportional to 21,930.93, 32,899.64 and 6,346.53 is: 9,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.93 : 32,899.64 = 6,346.53 : x
  2. Step 2: Convert to fraction form
    21,930.93/32,899.64 = 6,346.53/x
  3. Step 3: Cross multiply
    21,930.93x = 32,899.64 × 6,346.53
  4. Step 4: Simplify right side
    21,930.93x = 208,798,520.52
  5. Step 5: Solve for x
    x = 208,798,520.52/21,930.93
  6. Step 6: Final answer
    x = 9,520.73

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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.