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Finding the Fourth Proportional to 12,230.98, 18,341.80 and 5,206.55

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Solution

The fourth proportional to 12,230.98, 18,341.80 and 5,206.55 is: 7,807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.98 : 18,341.80 = 5,206.55 : x
  2. Step 2: Convert to fraction form
    12,230.98/18,341.80 = 5,206.55/x
  3. Step 3: Cross multiply
    12,230.98x = 18,341.80 × 5,206.55
  4. Step 4: Simplify right side
    12,230.98x = 95,497,498.79
  5. Step 5: Solve for x
    x = 95,497,498.79/12,230.98
  6. Step 6: Final answer
    x = 7,807.84

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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.