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Finding the Fourth Proportional to 16,083.92, 24,134.94 and 12,564.05

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Solution

The fourth proportional to 16,083.92, 24,134.94 and 12,564.05 is: 18,853.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.92 : 24,134.94 = 12,564.05 : x
  2. Step 2: Convert to fraction form
    16,083.92/24,134.94 = 12,564.05/x
  3. Step 3: Cross multiply
    16,083.92x = 24,134.94 × 12,564.05
  4. Step 4: Simplify right side
    16,083.92x = 303,232,538.72
  5. Step 5: Solve for x
    x = 303,232,538.72/16,083.92
  6. Step 6: Final answer
    x = 18,853.15

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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.