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Finding the Fourth Proportional to 13,783.17, 20,662.44 and 5,011.91

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Solution

The fourth proportional to 13,783.17, 20,662.44 and 5,011.91 is: 7,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.17 : 20,662.44 = 5,011.91 : x
  2. Step 2: Convert to fraction form
    13,783.17/20,662.44 = 5,011.91/x
  3. Step 3: Cross multiply
    13,783.17x = 20,662.44 × 5,011.91
  4. Step 4: Simplify right side
    13,783.17x = 103,558,186.35
  5. Step 5: Solve for x
    x = 103,558,186.35/13,783.17
  6. Step 6: Final answer
    x = 7,513.38

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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.