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Finding the Fourth Proportional to 13,534.18, 20,303.18 and 4,174.96

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Solution

The fourth proportional to 13,534.18, 20,303.18 and 4,174.96 is: 6,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.18 : 20,303.18 = 4,174.96 : x
  2. Step 2: Convert to fraction form
    13,534.18/20,303.18 = 4,174.96/x
  3. Step 3: Cross multiply
    13,534.18x = 20,303.18 × 4,174.96
  4. Step 4: Simplify right side
    13,534.18x = 84,764,964.37
  5. Step 5: Solve for x
    x = 84,764,964.37/13,534.18
  6. Step 6: Final answer
    x = 6,263.03

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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.