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Finding the Fourth Proportional to 14,550.84, 21,834.12 and 5,785.86

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Solution

The fourth proportional to 14,550.84, 21,834.12 and 5,785.86 is: 8,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,550.84 : 21,834.12 = 5,785.86 : x
  2. Step 2: Convert to fraction form
    14,550.84/21,834.12 = 5,785.86/x
  3. Step 3: Cross multiply
    14,550.84x = 21,834.12 × 5,785.86
  4. Step 4: Simplify right side
    14,550.84x = 126,329,161.54
  5. Step 5: Solve for x
    x = 126,329,161.54/14,550.84
  6. Step 6: Final answer
    x = 8,681.92

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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.