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Finding the Fourth Proportional to 13,663.48, 20,496.41 and 4,177.93

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Solution

The fourth proportional to 13,663.48, 20,496.41 and 4,177.93 is: 6,267.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.48 : 20,496.41 = 4,177.93 : x
  2. Step 2: Convert to fraction form
    13,663.48/20,496.41 = 4,177.93/x
  3. Step 3: Cross multiply
    13,663.48x = 20,496.41 × 4,177.93
  4. Step 4: Simplify right side
    13,663.48x = 85,632,617.47
  5. Step 5: Solve for x
    x = 85,632,617.47/13,663.48
  6. Step 6: Final answer
    x = 6,267.26

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