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Finding the Fourth Proportional to 13,602.34, 20,389.46 and 5,709.44

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Solution

The fourth proportional to 13,602.34, 20,389.46 and 5,709.44 is: 8,558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.34 : 20,389.46 = 5,709.44 : x
  2. Step 2: Convert to fraction form
    13,602.34/20,389.46 = 5,709.44/x
  3. Step 3: Cross multiply
    13,602.34x = 20,389.46 × 5,709.44
  4. Step 4: Simplify right side
    13,602.34x = 116,412,398.50
  5. Step 5: Solve for x
    x = 116,412,398.50/13,602.34
  6. Step 6: Final answer
    x = 8,558.26

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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.