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Finding the Fourth Proportional to 14,834.16, 20,476.71 and 8,863.65

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Solution

The fourth proportional to 14,834.16, 20,476.71 and 8,863.65 is: 12,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.16 : 20,476.71 = 8,863.65 : x
  2. Step 2: Convert to fraction form
    14,834.16/20,476.71 = 8,863.65/x
  3. Step 3: Cross multiply
    14,834.16x = 20,476.71 × 8,863.65
  4. Step 4: Simplify right side
    14,834.16x = 181,498,390.59
  5. Step 5: Solve for x
    x = 181,498,390.59/14,834.16
  6. Step 6: Final answer
    x = 12,235.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.