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Finding the Fourth Proportional to 14,435.46, 19,916.42 and 8,467.38

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Solution

The fourth proportional to 14,435.46, 19,916.42 and 8,467.38 is: 11,682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,435.46 : 19,916.42 = 8,467.38 : x
  2. Step 2: Convert to fraction form
    14,435.46/19,916.42 = 8,467.38/x
  3. Step 3: Cross multiply
    14,435.46x = 19,916.42 × 8,467.38
  4. Step 4: Simplify right side
    14,435.46x = 168,639,854.04
  5. Step 5: Solve for x
    x = 168,639,854.04/14,435.46
  6. Step 6: Final answer
    x = 11,682.33

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Why These Related Problems?

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