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Finding the Fourth Proportional to 21,406.61, 32,119.08 and 8,268.20

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Solution

The fourth proportional to 21,406.61, 32,119.08 and 8,268.20 is: 12,405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.61 : 32,119.08 = 8,268.20 : x
  2. Step 2: Convert to fraction form
    21,406.61/32,119.08 = 8,268.20/x
  3. Step 3: Cross multiply
    21,406.61x = 32,119.08 × 8,268.20
  4. Step 4: Simplify right side
    21,406.61x = 265,566,816.66
  5. Step 5: Solve for x
    x = 265,566,816.66/21,406.61
  6. Step 6: Final answer
    x = 12,405.84

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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.