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Finding the Fourth Proportional to 21,361.60, 32,042.10 and 9,674.80

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Solution

The fourth proportional to 21,361.60, 32,042.10 and 9,674.80 is: 14,512.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,361.60 : 32,042.10 = 9,674.80 : x
  2. Step 2: Convert to fraction form
    21,361.60/32,042.10 = 9,674.80/x
  3. Step 3: Cross multiply
    21,361.60x = 32,042.10 × 9,674.80
  4. Step 4: Simplify right side
    21,361.60x = 310,000,909.08
  5. Step 5: Solve for x
    x = 310,000,909.08/21,361.60
  6. Step 6: Final answer
    x = 14,512.06

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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.