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Finding the Fourth Proportional to 21,403.44, 32,099.64 and 6,407.60

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Solution

The fourth proportional to 21,403.44, 32,099.64 and 6,407.60 is: 9,609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,403.44 : 32,099.64 = 6,407.60 : x
  2. Step 2: Convert to fraction form
    21,403.44/32,099.64 = 6,407.60/x
  3. Step 3: Cross multiply
    21,403.44x = 32,099.64 × 6,407.60
  4. Step 4: Simplify right side
    21,403.44x = 205,681,653.26
  5. Step 5: Solve for x
    x = 205,681,653.26/21,403.44
  6. Step 6: Final answer
    x = 9,609.75

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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.