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Finding the Fourth Proportional to 21,464.12, 32,201.65 and 6,673.16

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Solution

The fourth proportional to 21,464.12, 32,201.65 and 6,673.16 is: 10,011.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,464.12 : 32,201.65 = 6,673.16 : x
  2. Step 2: Convert to fraction form
    21,464.12/32,201.65 = 6,673.16/x
  3. Step 3: Cross multiply
    21,464.12x = 32,201.65 × 6,673.16
  4. Step 4: Simplify right side
    21,464.12x = 214,886,851.56
  5. Step 5: Solve for x
    x = 214,886,851.56/21,464.12
  6. Step 6: Final answer
    x = 10,011.44

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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.