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Finding the Fourth Proportional to 12,182.22, 18,270.59 and 5,602.08

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Solution

The fourth proportional to 12,182.22, 18,270.59 and 5,602.08 is: 8,401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.22 : 18,270.59 = 5,602.08 : x
  2. Step 2: Convert to fraction form
    12,182.22/18,270.59 = 5,602.08/x
  3. Step 3: Cross multiply
    12,182.22x = 18,270.59 × 5,602.08
  4. Step 4: Simplify right side
    12,182.22x = 102,353,278.82
  5. Step 5: Solve for x
    x = 102,353,278.82/12,182.22
  6. Step 6: Final answer
    x = 8,401.86

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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.