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Finding the Fourth Proportional to 21,405.14, 32,112.92 and 7,365.42

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Solution

The fourth proportional to 21,405.14, 32,112.92 and 7,365.42 is: 11,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.14 : 32,112.92 = 7,365.42 : x
  2. Step 2: Convert to fraction form
    21,405.14/32,112.92 = 7,365.42/x
  3. Step 3: Cross multiply
    21,405.14x = 32,112.92 × 7,365.42
  4. Step 4: Simplify right side
    21,405.14x = 236,525,143.23
  5. Step 5: Solve for x
    x = 236,525,143.23/21,405.14
  6. Step 6: Final answer
    x = 11,049.92

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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.