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Finding the Fourth Proportional to 16,351.70, 24,470.85 and 9,782.60

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Solution

The fourth proportional to 16,351.70, 24,470.85 and 9,782.60 is: 14,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,351.70 : 24,470.85 = 9,782.60 : x
  2. Step 2: Convert to fraction form
    16,351.70/24,470.85 = 9,782.60/x
  3. Step 3: Cross multiply
    16,351.70x = 24,470.85 × 9,782.60
  4. Step 4: Simplify right side
    16,351.70x = 239,388,537.21
  5. Step 5: Solve for x
    x = 239,388,537.21/16,351.70
  6. Step 6: Final answer
    x = 14,639.98

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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.