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Finding the Fourth Proportional to 14,519.38, 20,042.86 and 9,810.04

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Solution

The fourth proportional to 14,519.38, 20,042.86 and 9,810.04 is: 13,541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,519.38 : 20,042.86 = 9,810.04 : x
  2. Step 2: Convert to fraction form
    14,519.38/20,042.86 = 9,810.04/x
  3. Step 3: Cross multiply
    14,519.38x = 20,042.86 × 9,810.04
  4. Step 4: Simplify right side
    14,519.38x = 196,621,183.68
  5. Step 5: Solve for x
    x = 196,621,183.68/14,519.38
  6. Step 6: Final answer
    x = 13,541.98

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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.