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Finding the Fourth Proportional to 12,200.70, 18,301.05 and 9,090.30

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Solution

The fourth proportional to 12,200.70, 18,301.05 and 9,090.30 is: 13,635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.70 : 18,301.05 = 9,090.30 : x
  2. Step 2: Convert to fraction form
    12,200.70/18,301.05 = 9,090.30/x
  3. Step 3: Cross multiply
    12,200.70x = 18,301.05 × 9,090.30
  4. Step 4: Simplify right side
    12,200.70x = 166,362,034.82
  5. Step 5: Solve for x
    x = 166,362,034.82/12,200.70
  6. Step 6: Final answer
    x = 13,635.45

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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.