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Finding the Fourth Proportional to 13,280.40, 19,895.09 and 7,419.24

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Solution

The fourth proportional to 13,280.40, 19,895.09 and 7,419.24 is: 11,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,280.40 : 19,895.09 = 7,419.24 : x
  2. Step 2: Convert to fraction form
    13,280.40/19,895.09 = 7,419.24/x
  3. Step 3: Cross multiply
    13,280.40x = 19,895.09 × 7,419.24
  4. Step 4: Simplify right side
    13,280.40x = 147,606,410.44
  5. Step 5: Solve for x
    x = 147,606,410.44/13,280.40
  6. Step 6: Final answer
    x = 11,114.61

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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.