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Finding the Fourth Proportional to 13,663.46, 20,494.38 and 3,804.14

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Solution

The fourth proportional to 13,663.46, 20,494.38 and 3,804.14 is: 5,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.46 : 20,494.38 = 3,804.14 : x
  2. Step 2: Convert to fraction form
    13,663.46/20,494.38 = 3,804.14/x
  3. Step 3: Cross multiply
    13,663.46x = 20,494.38 × 3,804.14
  4. Step 4: Simplify right side
    13,663.46x = 77,963,490.73
  5. Step 5: Solve for x
    x = 77,963,490.73/13,663.46
  6. Step 6: Final answer
    x = 5,705.98

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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.