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Finding the Fourth Proportional to 21,952.60, 32,912.70 and 9,462.40

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Solution

The fourth proportional to 21,952.60, 32,912.70 and 9,462.40 is: 14,186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,952.60 : 32,912.70 = 9,462.40 : x
  2. Step 2: Convert to fraction form
    21,952.60/32,912.70 = 9,462.40/x
  3. Step 3: Cross multiply
    21,952.60x = 32,912.70 × 9,462.40
  4. Step 4: Simplify right side
    21,952.60x = 311,433,132.48
  5. Step 5: Solve for x
    x = 311,433,132.48/21,952.60
  6. Step 6: Final answer
    x = 14,186.62

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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.