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Finding the Fourth Proportional to 16,077.36, 24,130.84 and 8,185.51

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Solution

The fourth proportional to 16,077.36, 24,130.84 and 8,185.51 is: 12,285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.36 : 24,130.84 = 8,185.51 : x
  2. Step 2: Convert to fraction form
    16,077.36/24,130.84 = 8,185.51/x
  3. Step 3: Cross multiply
    16,077.36x = 24,130.84 × 8,185.51
  4. Step 4: Simplify right side
    16,077.36x = 197,523,325.04
  5. Step 5: Solve for x
    x = 197,523,325.04/16,077.36
  6. Step 6: Final answer
    x = 12,285.81

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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.