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Finding the Fourth Proportional to 13,798.53, 20,695.34 and 5,905.49

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Solution

The fourth proportional to 13,798.53, 20,695.34 and 5,905.49 is: 8,857.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.53 : 20,695.34 = 5,905.49 : x
  2. Step 2: Convert to fraction form
    13,798.53/20,695.34 = 5,905.49/x
  3. Step 3: Cross multiply
    13,798.53x = 20,695.34 × 5,905.49
  4. Step 4: Simplify right side
    13,798.53x = 122,216,034.70
  5. Step 5: Solve for x
    x = 122,216,034.70/13,798.53
  6. Step 6: Final answer
    x = 8,857.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.