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Finding the Fourth Proportional to 21,422.80, 32,112.60 and 9,744.40

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Solution

The fourth proportional to 21,422.80, 32,112.60 and 9,744.40 is: 14,606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422.80 : 32,112.60 = 9,744.40 : x
  2. Step 2: Convert to fraction form
    21,422.80/32,112.60 = 9,744.40/x
  3. Step 3: Cross multiply
    21,422.80x = 32,112.60 × 9,744.40
  4. Step 4: Simplify right side
    21,422.80x = 312,918,019.44
  5. Step 5: Solve for x
    x = 312,918,019.44/21,422.80
  6. Step 6: Final answer
    x = 14,606.77

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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.