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Finding the Fourth Proportional to 16,410.75, 24,619.77 and 6,022.50

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Solution

The fourth proportional to 16,410.75, 24,619.77 and 6,022.50 is: 9,035.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,410.75 : 24,619.77 = 6,022.50 : x
  2. Step 2: Convert to fraction form
    16,410.75/24,619.77 = 6,022.50/x
  3. Step 3: Cross multiply
    16,410.75x = 24,619.77 × 6,022.50
  4. Step 4: Simplify right side
    16,410.75x = 148,272,564.83
  5. Step 5: Solve for x
    x = 148,272,564.83/16,410.75
  6. Step 6: Final answer
    x = 9,035.09

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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.