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Finding the Fourth Proportional to 13,662.13, 20,501.15 and 5,764.15

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Solution

The fourth proportional to 13,662.13, 20,501.15 and 5,764.15 is: 8,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.13 : 20,501.15 = 5,764.15 : x
  2. Step 2: Convert to fraction form
    13,662.13/20,501.15 = 5,764.15/x
  3. Step 3: Cross multiply
    13,662.13x = 20,501.15 × 5,764.15
  4. Step 4: Simplify right side
    13,662.13x = 118,171,703.77
  5. Step 5: Solve for x
    x = 118,171,703.77/13,662.13
  6. Step 6: Final answer
    x = 8,649.58

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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.