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Finding the Fourth Proportional to 13,771.46, 19,004.68 and 7,483.84

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Solution

The fourth proportional to 13,771.46, 19,004.68 and 7,483.84 is: 10,327.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.46 : 19,004.68 = 7,483.84 : x
  2. Step 2: Convert to fraction form
    13,771.46/19,004.68 = 7,483.84/x
  3. Step 3: Cross multiply
    13,771.46x = 19,004.68 × 7,483.84
  4. Step 4: Simplify right side
    13,771.46x = 142,227,984.37
  5. Step 5: Solve for x
    x = 142,227,984.37/13,771.46
  6. Step 6: Final answer
    x = 10,327.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.