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Finding the Fourth Proportional to 21,784.57, 32,676.84 and 6,202.19

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Solution

The fourth proportional to 21,784.57, 32,676.84 and 6,202.19 is: 9,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,784.57 : 32,676.84 = 6,202.19 : x
  2. Step 2: Convert to fraction form
    21,784.57/32,676.84 = 6,202.19/x
  3. Step 3: Cross multiply
    21,784.57x = 32,676.84 × 6,202.19
  4. Step 4: Simplify right side
    21,784.57x = 202,668,051.97
  5. Step 5: Solve for x
    x = 202,668,051.97/21,784.57
  6. Step 6: Final answer
    x = 9,303.29

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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.