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Finding the Fourth Proportional to 13,698.64, 20,551.74 and 4,933.36

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Solution

The fourth proportional to 13,698.64, 20,551.74 and 4,933.36 is: 7,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.64 : 20,551.74 = 4,933.36 : x
  2. Step 2: Convert to fraction form
    13,698.64/20,551.74 = 4,933.36/x
  3. Step 3: Cross multiply
    13,698.64x = 20,551.74 × 4,933.36
  4. Step 4: Simplify right side
    13,698.64x = 101,389,132.05
  5. Step 5: Solve for x
    x = 101,389,132.05/13,698.64
  6. Step 6: Final answer
    x = 7,401.40

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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.