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Finding the Fourth Proportional to 13,777.56, 19,004.50 and 12,013.40

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Solution

The fourth proportional to 13,777.56, 19,004.50 and 12,013.40 is: 16,571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.56 : 19,004.50 = 12,013.40 : x
  2. Step 2: Convert to fraction form
    13,777.56/19,004.50 = 12,013.40/x
  3. Step 3: Cross multiply
    13,777.56x = 19,004.50 × 12,013.40
  4. Step 4: Simplify right side
    13,777.56x = 228,308,660.30
  5. Step 5: Solve for x
    x = 228,308,660.30/13,777.56
  6. Step 6: Final answer
    x = 16,571.05

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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.