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Finding the Fourth Proportional to 16,465.80, 24,698.67 and 4,153.80

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Solution

The fourth proportional to 16,465.80, 24,698.67 and 4,153.80 is: 6,230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.80 : 24,698.67 = 4,153.80 : x
  2. Step 2: Convert to fraction form
    16,465.80/24,698.67 = 4,153.80/x
  3. Step 3: Cross multiply
    16,465.80x = 24,698.67 × 4,153.80
  4. Step 4: Simplify right side
    16,465.80x = 102,593,335.45
  5. Step 5: Solve for x
    x = 102,593,335.45/16,465.80
  6. Step 6: Final answer
    x = 6,230.69

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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.