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Finding the Fourth Proportional to 13,455.98, 20,177.19 and 4,094.20

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Solution

The fourth proportional to 13,455.98, 20,177.19 and 4,094.20 is: 6,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,455.98 : 20,177.19 = 4,094.20 : x
  2. Step 2: Convert to fraction form
    13,455.98/20,177.19 = 4,094.20/x
  3. Step 3: Cross multiply
    13,455.98x = 20,177.19 × 4,094.20
  4. Step 4: Simplify right side
    13,455.98x = 82,609,527.51
  5. Step 5: Solve for x
    x = 82,609,527.51/13,455.98
  6. Step 6: Final answer
    x = 6,139.24

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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.