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Finding the Fourth Proportional to 12,203.20, 18,270.16 and 8,030.64

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Solution

The fourth proportional to 12,203.20, 18,270.16 and 8,030.64 is: 12,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.20 : 18,270.16 = 8,030.64 : x
  2. Step 2: Convert to fraction form
    12,203.20/18,270.16 = 8,030.64/x
  3. Step 3: Cross multiply
    12,203.20x = 18,270.16 × 8,030.64
  4. Step 4: Simplify right side
    12,203.20x = 146,721,077.70
  5. Step 5: Solve for x
    x = 146,721,077.70/12,203.20
  6. Step 6: Final answer
    x = 12,023.16

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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.