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Finding the Fourth Proportional to 21,405.44, 32,102.64 and 6,409.60

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Solution

The fourth proportional to 21,405.44, 32,102.64 and 6,409.60 is: 9,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.44 : 32,102.64 = 6,409.60 : x
  2. Step 2: Convert to fraction form
    21,405.44/32,102.64 = 6,409.60/x
  3. Step 3: Cross multiply
    21,405.44x = 32,102.64 × 6,409.60
  4. Step 4: Simplify right side
    21,405.44x = 205,765,081.34
  5. Step 5: Solve for x
    x = 205,765,081.34/21,405.44
  6. Step 6: Final answer
    x = 9,612.75

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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.