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Finding the Fourth Proportional to 16,205.54, 24,293.72 and 5,814.86

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Solution

The fourth proportional to 16,205.54, 24,293.72 and 5,814.86 is: 8,717.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.54 : 24,293.72 = 5,814.86 : x
  2. Step 2: Convert to fraction form
    16,205.54/24,293.72 = 5,814.86/x
  3. Step 3: Cross multiply
    16,205.54x = 24,293.72 × 5,814.86
  4. Step 4: Simplify right side
    16,205.54x = 141,264,580.68
  5. Step 5: Solve for x
    x = 141,264,580.68/16,205.54
  6. Step 6: Final answer
    x = 8,717.05

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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.