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Finding the Fourth Proportional to 21,930.12, 32,899.50 and 6,347.88

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Solution

The fourth proportional to 21,930.12, 32,899.50 and 6,347.88 is: 9,523.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.12 : 32,899.50 = 6,347.88 : x
  2. Step 2: Convert to fraction form
    21,930.12/32,899.50 = 6,347.88/x
  3. Step 3: Cross multiply
    21,930.12x = 32,899.50 × 6,347.88
  4. Step 4: Simplify right side
    21,930.12x = 208,842,078.06
  5. Step 5: Solve for x
    x = 208,842,078.06/21,930.12
  6. Step 6: Final answer
    x = 9,523.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.