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Finding the Fourth Proportional to 13,047.88, 19,571.76 and 3,687.88

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Solution

The fourth proportional to 13,047.88, 19,571.76 and 3,687.88 is: 5,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.88 : 19,571.76 = 3,687.88 : x
  2. Step 2: Convert to fraction form
    13,047.88/19,571.76 = 3,687.88/x
  3. Step 3: Cross multiply
    13,047.88x = 19,571.76 × 3,687.88
  4. Step 4: Simplify right side
    13,047.88x = 72,178,302.27
  5. Step 5: Solve for x
    x = 72,178,302.27/13,047.88
  6. Step 6: Final answer
    x = 5,531.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.