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Finding the Fourth Proportional to 13,003.14, 19,506.75 and 5,609.70

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Solution

The fourth proportional to 13,003.14, 19,506.75 and 5,609.70 is: 8,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.14 : 19,506.75 = 5,609.70 : x
  2. Step 2: Convert to fraction form
    13,003.14/19,506.75 = 5,609.70/x
  3. Step 3: Cross multiply
    13,003.14x = 19,506.75 × 5,609.70
  4. Step 4: Simplify right side
    13,003.14x = 109,427,015.48
  5. Step 5: Solve for x
    x = 109,427,015.48/13,003.14
  6. Step 6: Final answer
    x = 8,415.43

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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.