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Finding the Fourth Proportional to 16,202.43, 24,314.58 and 6,340.48

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Solution

The fourth proportional to 16,202.43, 24,314.58 and 6,340.48 is: 9,515.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.43 : 24,314.58 = 6,340.48 : x
  2. Step 2: Convert to fraction form
    16,202.43/24,314.58 = 6,340.48/x
  3. Step 3: Cross multiply
    16,202.43x = 24,314.58 × 6,340.48
  4. Step 4: Simplify right side
    16,202.43x = 154,166,047.41
  5. Step 5: Solve for x
    x = 154,166,047.41/16,202.43
  6. Step 6: Final answer
    x = 9,515.00

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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.