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Finding the Fourth Proportional to 13,484.10, 20,208.24 and 7,157.67

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Solution

The fourth proportional to 13,484.10, 20,208.24 and 7,157.67 is: 10,727.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,484.10 : 20,208.24 = 7,157.67 : x
  2. Step 2: Convert to fraction form
    13,484.10/20,208.24 = 7,157.67/x
  3. Step 3: Cross multiply
    13,484.10x = 20,208.24 × 7,157.67
  4. Step 4: Simplify right side
    13,484.10x = 144,643,913.20
  5. Step 5: Solve for x
    x = 144,643,913.20/13,484.10
  6. Step 6: Final answer
    x = 10,727.00

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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.