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Finding the Fourth Proportional to 12,226.41, 18,341.78 and 7,029.45

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Solution

The fourth proportional to 12,226.41, 18,341.78 and 7,029.45 is: 10,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.41 : 18,341.78 = 7,029.45 : x
  2. Step 2: Convert to fraction form
    12,226.41/18,341.78 = 7,029.45/x
  3. Step 3: Cross multiply
    12,226.41x = 18,341.78 × 7,029.45
  4. Step 4: Simplify right side
    12,226.41x = 128,932,590.27
  5. Step 5: Solve for x
    x = 128,932,590.27/12,226.41
  6. Step 6: Final answer
    x = 10,545.42

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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.