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Finding the Fourth Proportional to 21,932.79, 32,902.63 and 9,456.36

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Solution

The fourth proportional to 21,932.79, 32,902.63 and 9,456.36 is: 14,186.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,932.79 : 32,902.63 = 9,456.36 : x
  2. Step 2: Convert to fraction form
    21,932.79/32,902.63 = 9,456.36/x
  3. Step 3: Cross multiply
    21,932.79x = 32,902.63 × 9,456.36
  4. Step 4: Simplify right side
    21,932.79x = 311,139,114.23
  5. Step 5: Solve for x
    x = 311,139,114.23/21,932.79
  6. Step 6: Final answer
    x = 14,186.03

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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.