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Finding the Fourth Proportional to 12,442.85, 18,661.04 and 4,123.61

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Solution

The fourth proportional to 12,442.85, 18,661.04 and 4,123.61 is: 6,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.85 : 18,661.04 = 4,123.61 : x
  2. Step 2: Convert to fraction form
    12,442.85/18,661.04 = 4,123.61/x
  3. Step 3: Cross multiply
    12,442.85x = 18,661.04 × 4,123.61
  4. Step 4: Simplify right side
    12,442.85x = 76,950,830.54
  5. Step 5: Solve for x
    x = 76,950,830.54/12,442.85
  6. Step 6: Final answer
    x = 6,184.34

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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.