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Finding the Fourth Proportional to 14,310.38, 19,746.71 and 8,022.62

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Solution

The fourth proportional to 14,310.38, 19,746.71 and 8,022.62 is: 11,070.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.38 : 19,746.71 = 8,022.62 : x
  2. Step 2: Convert to fraction form
    14,310.38/19,746.71 = 8,022.62/x
  3. Step 3: Cross multiply
    14,310.38x = 19,746.71 × 8,022.62
  4. Step 4: Simplify right side
    14,310.38x = 158,420,211.73
  5. Step 5: Solve for x
    x = 158,420,211.73/14,310.38
  6. Step 6: Final answer
    x = 11,070.30

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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.