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Finding the Fourth Proportional to 16,490.25, 24,735.38 and 4,178.25

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Solution

The fourth proportional to 16,490.25, 24,735.38 and 4,178.25 is: 6,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,490.25 : 24,735.38 = 4,178.25 : x
  2. Step 2: Convert to fraction form
    16,490.25/24,735.38 = 4,178.25/x
  3. Step 3: Cross multiply
    16,490.25x = 24,735.38 × 4,178.25
  4. Step 4: Simplify right side
    16,490.25x = 103,350,580.59
  5. Step 5: Solve for x
    x = 103,350,580.59/16,490.25
  6. Step 6: Final answer
    x = 6,267.38

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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.