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Finding the Fourth Proportional to 13,047.84, 19,571.76 and 3,813.84

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Solution

The fourth proportional to 13,047.84, 19,571.76 and 3,813.84 is: 5,720.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.84 : 19,571.76 = 3,813.84 : x
  2. Step 2: Convert to fraction form
    13,047.84/19,571.76 = 3,813.84/x
  3. Step 3: Cross multiply
    13,047.84x = 19,571.76 × 3,813.84
  4. Step 4: Simplify right side
    13,047.84x = 74,643,561.16
  5. Step 5: Solve for x
    x = 74,643,561.16/13,047.84
  6. Step 6: Final answer
    x = 5,720.76

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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.