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Finding the Fourth Proportional to 13,720.08, 20,535.02 and 10,414.98

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Solution

The fourth proportional to 13,720.08, 20,535.02 and 10,414.98 is: 15,588.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.08 : 20,535.02 = 10,414.98 : x
  2. Step 2: Convert to fraction form
    13,720.08/20,535.02 = 10,414.98/x
  3. Step 3: Cross multiply
    13,720.08x = 20,535.02 × 10,414.98
  4. Step 4: Simplify right side
    13,720.08x = 213,871,809.58
  5. Step 5: Solve for x
    x = 213,871,809.58/13,720.08
  6. Step 6: Final answer
    x = 15,588.23

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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.