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Finding the Fourth Proportional to 14,965.38, 20,651.28 and 8,250.63

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Solution

The fourth proportional to 14,965.38, 20,651.28 and 8,250.63 is: 11,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.38 : 20,651.28 = 8,250.63 : x
  2. Step 2: Convert to fraction form
    14,965.38/20,651.28 = 8,250.63/x
  3. Step 3: Cross multiply
    14,965.38x = 20,651.28 × 8,250.63
  4. Step 4: Simplify right side
    14,965.38x = 170,386,070.31
  5. Step 5: Solve for x
    x = 170,386,070.31/14,965.38
  6. Step 6: Final answer
    x = 11,385.35

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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.