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Finding the Fourth Proportional to 13,712.70, 20,564.83 and 7,135.30

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Solution

The fourth proportional to 13,712.70, 20,564.83 and 7,135.30 is: 10,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.70 : 20,564.83 = 7,135.30 : x
  2. Step 2: Convert to fraction form
    13,712.70/20,564.83 = 7,135.30/x
  3. Step 3: Cross multiply
    13,712.70x = 20,564.83 × 7,135.30
  4. Step 4: Simplify right side
    13,712.70x = 146,736,231.50
  5. Step 5: Solve for x
    x = 146,736,231.50/13,712.70
  6. Step 6: Final answer
    x = 10,700.75

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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.