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Finding the Fourth Proportional to 13,783.33, 20,656.43 and 7,533.96

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Solution

The fourth proportional to 13,783.33, 20,656.43 and 7,533.96 is: 11,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.33 : 20,656.43 = 7,533.96 : x
  2. Step 2: Convert to fraction form
    13,783.33/20,656.43 = 7,533.96/x
  3. Step 3: Cross multiply
    13,783.33x = 20,656.43 × 7,533.96
  4. Step 4: Simplify right side
    13,783.33x = 155,624,632.92
  5. Step 5: Solve for x
    x = 155,624,632.92/13,783.33
  6. Step 6: Final answer
    x = 11,290.79

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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.