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Finding the Fourth Proportional to 13,663.88, 20,485.42 and 5,768.81

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Solution

The fourth proportional to 13,663.88, 20,485.42 and 5,768.81 is: 8,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.88 : 20,485.42 = 5,768.81 : x
  2. Step 2: Convert to fraction form
    13,663.88/20,485.42 = 5,768.81/x
  3. Step 3: Cross multiply
    13,663.88x = 20,485.42 × 5,768.81
  4. Step 4: Simplify right side
    13,663.88x = 118,176,495.75
  5. Step 5: Solve for x
    x = 118,176,495.75/13,663.88
  6. Step 6: Final answer
    x = 8,648.82

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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.