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Finding the Fourth Proportional to 16,465.50, 24,698.25 and 4,778.82

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Solution

The fourth proportional to 16,465.50, 24,698.25 and 4,778.82 is: 7,168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.50 : 24,698.25 = 4,778.82 : x
  2. Step 2: Convert to fraction form
    16,465.50/24,698.25 = 4,778.82/x
  3. Step 3: Cross multiply
    16,465.50x = 24,698.25 × 4,778.82
  4. Step 4: Simplify right side
    16,465.50x = 118,028,491.07
  5. Step 5: Solve for x
    x = 118,028,491.07/16,465.50
  6. Step 6: Final answer
    x = 7,168.23

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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.