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Finding the Fourth Proportional to 13,753.38, 18,980.10 and 7,784.94

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Solution

The fourth proportional to 13,753.38, 18,980.10 and 7,784.94 is: 10,743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.38 : 18,980.10 = 7,784.94 : x
  2. Step 2: Convert to fraction form
    13,753.38/18,980.10 = 7,784.94/x
  3. Step 3: Cross multiply
    13,753.38x = 18,980.10 × 7,784.94
  4. Step 4: Simplify right side
    13,753.38x = 147,758,939.69
  5. Step 5: Solve for x
    x = 147,758,939.69/13,753.38
  6. Step 6: Final answer
    x = 10,743.46

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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.