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Finding the Fourth Proportional to 13,463.92, 20,206.34 and 9,332.84

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Solution

The fourth proportional to 13,463.92, 20,206.34 and 9,332.84 is: 14,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.92 : 20,206.34 = 9,332.84 : x
  2. Step 2: Convert to fraction form
    13,463.92/20,206.34 = 9,332.84/x
  3. Step 3: Cross multiply
    13,463.92x = 20,206.34 × 9,332.84
  4. Step 4: Simplify right side
    13,463.92x = 188,582,538.21
  5. Step 5: Solve for x
    x = 188,582,538.21/13,463.92
  6. Step 6: Final answer
    x = 14,006.51

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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.