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Finding the Fourth Proportional to 16,361.40, 24,542.10 and 9,784.20

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Solution

The fourth proportional to 16,361.40, 24,542.10 and 9,784.20 is: 14,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,361.40 : 24,542.10 = 9,784.20 : x
  2. Step 2: Convert to fraction form
    16,361.40/24,542.10 = 9,784.20/x
  3. Step 3: Cross multiply
    16,361.40x = 24,542.10 × 9,784.20
  4. Step 4: Simplify right side
    16,361.40x = 240,124,814.82
  5. Step 5: Solve for x
    x = 240,124,814.82/16,361.40
  6. Step 6: Final answer
    x = 14,676.30

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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.