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Finding the Fourth Proportional to 12,026.41, 18,038.94 and 4,234.57

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Solution

The fourth proportional to 12,026.41, 18,038.94 and 4,234.57 is: 6,351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.41 : 18,038.94 = 4,234.57 : x
  2. Step 2: Convert to fraction form
    12,026.41/18,038.94 = 4,234.57/x
  3. Step 3: Cross multiply
    12,026.41x = 18,038.94 × 4,234.57
  4. Step 4: Simplify right side
    12,026.41x = 76,387,154.16
  5. Step 5: Solve for x
    x = 76,387,154.16/12,026.41
  6. Step 6: Final answer
    x = 6,351.62

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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.