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Finding the Fourth Proportional to 13,707.40, 20,548.50 and 4,940.17

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Solution

The fourth proportional to 13,707.40, 20,548.50 and 4,940.17 is: 7,405.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.40 : 20,548.50 = 4,940.17 : x
  2. Step 2: Convert to fraction form
    13,707.40/20,548.50 = 4,940.17/x
  3. Step 3: Cross multiply
    13,707.40x = 20,548.50 × 4,940.17
  4. Step 4: Simplify right side
    13,707.40x = 101,513,083.25
  5. Step 5: Solve for x
    x = 101,513,083.25/13,707.40
  6. Step 6: Final answer
    x = 7,405.71

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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.