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Finding the Fourth Proportional to 13,769.40, 20,647.65 and 5,003.16

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Solution

The fourth proportional to 13,769.40, 20,647.65 and 5,003.16 is: 7,502.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.40 : 20,647.65 = 5,003.16 : x
  2. Step 2: Convert to fraction form
    13,769.40/20,647.65 = 5,003.16/x
  3. Step 3: Cross multiply
    13,769.40x = 20,647.65 × 5,003.16
  4. Step 4: Simplify right side
    13,769.40x = 103,303,496.57
  5. Step 5: Solve for x
    x = 103,303,496.57/13,769.40
  6. Step 6: Final answer
    x = 7,502.40

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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.