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Finding the Fourth Proportional to 16,490.24, 24,735 and 4,010.32

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Solution

The fourth proportional to 16,490.24, 24,735 and 4,010.32 is: 6,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,490.24 : 24,735 = 4,010.32 : x
  2. Step 2: Convert to fraction form
    16,490.24/24,735 = 4,010.32/x
  3. Step 3: Cross multiply
    16,490.24x = 24,735 × 4,010.32
  4. Step 4: Simplify right side
    16,490.24x = 99,195,265.20
  5. Step 5: Solve for x
    x = 99,195,265.20/16,490.24
  6. Step 6: Final answer
    x = 6,015.39

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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.