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Finding the Fourth Proportional to 13,783.65, 20,682.30 and 5,463.48

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Solution

The fourth proportional to 13,783.65, 20,682.30 and 5,463.48 is: 8,197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.65 : 20,682.30 = 5,463.48 : x
  2. Step 2: Convert to fraction form
    13,783.65/20,682.30 = 5,463.48/x
  3. Step 3: Cross multiply
    13,783.65x = 20,682.30 × 5,463.48
  4. Step 4: Simplify right side
    13,783.65x = 112,997,332.40
  5. Step 5: Solve for x
    x = 112,997,332.40/13,783.65
  6. Step 6: Final answer
    x = 8,197.93

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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.