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Finding the Fourth Proportional to 13,538.92, 20,320.67 and 9,405.49

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Solution

The fourth proportional to 13,538.92, 20,320.67 and 9,405.49 is: 14,116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.92 : 20,320.67 = 9,405.49 : x
  2. Step 2: Convert to fraction form
    13,538.92/20,320.67 = 9,405.49/x
  3. Step 3: Cross multiply
    13,538.92x = 20,320.67 × 9,405.49
  4. Step 4: Simplify right side
    13,538.92x = 191,125,858.48
  5. Step 5: Solve for x
    x = 191,125,858.48/13,538.92
  6. Step 6: Final answer
    x = 14,116.77

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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.