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Finding the Fourth Proportional to 13,014.56, 19,522.38 and 3,780.56

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Solution

The fourth proportional to 13,014.56, 19,522.38 and 3,780.56 is: 5,671.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.56 : 19,522.38 = 3,780.56 : x
  2. Step 2: Convert to fraction form
    13,014.56/19,522.38 = 3,780.56/x
  3. Step 3: Cross multiply
    13,014.56x = 19,522.38 × 3,780.56
  4. Step 4: Simplify right side
    13,014.56x = 73,805,591.92
  5. Step 5: Solve for x
    x = 73,805,591.92/13,014.56
  6. Step 6: Final answer
    x = 5,671.00

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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.